Finding the Fourth Proportional to 1,648,134,098.70, 2,472,201,148.05 and 557,617,166.70
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Solution
The fourth proportional to 1,648,134,098.70, 2,472,201,148.05 and 557,617,166.70 is: 836,425,750.05
Step by Step Solution
- Step 1: Write the proportion equation
1,648,134,098.70 : 2,472,201,148.05 = 557,617,166.70 : x - Step 2: Convert to fraction form
1,648,134,098.70/2,472,201,148.05 = 557,617,166.70/x - Step 3: Cross multiply
1,648,134,098.70x = 2,472,201,148.05 × 557,617,166.70 - Step 4: Simplify right side
1,648,134,098.70x = 1,378,541,799,688,128,512 - Step 5: Solve for x
x = 1,378,541,799,688,128,512/1,648,134,098.70 - Step 6: Final answer
x = 836,425,750.05
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Double scale
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Similar ratio
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.