Finding the Fourth Proportional to 604,417,400.10, 906,178,202.55 and 409,843,217.70
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Solution
The fourth proportional to 604,417,400.10, 906,178,202.55 and 409,843,217.70 is: 614,461,116.24
Step by Step Solution
- Step 1: Write the proportion equation
604,417,400.10 : 906,178,202.55 = 409,843,217.70 : x - Step 2: Convert to fraction form
604,417,400.10/906,178,202.55 = 409,843,217.70/x - Step 3: Cross multiply
604,417,400.10x = 906,178,202.55 × 409,843,217.70 - Step 4: Simplify right side
604,417,400.10x = 371,390,990,342,694,336 - Step 5: Solve for x
x = 371,390,990,342,694,336/604,417,400.10 - Step 6: Final answer
x = 614,461,116.24
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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.