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Finding the Fourth Proportional to 585,115.40, 877,673.10 and 478,827.20

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Solution

The fourth proportional to 585,115.40, 877,673.10 and 478,827.20 is: 718,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,115.40 : 877,673.10 = 478,827.20 : x
  2. Step 2: Convert to fraction form
    585,115.40/877,673.10 = 478,827.20/x
  3. Step 3: Cross multiply
    585,115.40x = 877,673.10 × 478,827.20
  4. Step 4: Simplify right side
    585,115.40x = 420,253,752,988.32
  5. Step 5: Solve for x
    x = 420,253,752,988.32/585,115.40
  6. Step 6: Final answer
    x = 718,240.80

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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.