Finding the Fourth Proportional to 1,457,545,946.40, 2,186,317,167.84 and 474,970,936.32
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Solution
The fourth proportional to 1,457,545,946.40, 2,186,317,167.84 and 474,970,936.32 is: 712,455,833.63
Step by Step Solution
- Step 1: Write the proportion equation
1,457,545,946.40 : 2,186,317,167.84 = 474,970,936.32 : x - Step 2: Convert to fraction form
1,457,545,946.40/2,186,317,167.84 = 474,970,936.32/x - Step 3: Cross multiply
1,457,545,946.40x = 2,186,317,167.84 × 474,970,936.32 - Step 4: Simplify right side
1,457,545,946.40x = 1,038,437,112,301,455,488 - Step 5: Solve for x
x = 1,038,437,112,301,455,488/1,457,545,946.40 - Step 6: Final answer
x = 712,455,833.63
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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.