Finding the Fourth Proportional to 971,412,737.84, 1,457,221,166.76 and 316,414,830.32
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Solution
The fourth proportional to 971,412,737.84, 1,457,221,166.76 and 316,414,830.32 is: 474,655,489.12
Step by Step Solution
- Step 1: Write the proportion equation
971,412,737.84 : 1,457,221,166.76 = 316,414,830.32 : x - Step 2: Convert to fraction form
971,412,737.84/1,457,221,166.76 = 316,414,830.32/x - Step 3: Cross multiply
971,412,737.84x = 1,457,221,166.76 × 316,414,830.32 - Step 4: Simplify right side
971,412,737.84x = 461,086,388,219,077,824 - Step 5: Solve for x
x = 461,086,388,219,077,824/971,412,737.84 - Step 6: Final answer
x = 474,655,489.12
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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.