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Finding the Fourth Proportional to 577,204.40, 865,806.60 and 417,772.10

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Solution

The fourth proportional to 577,204.40, 865,806.60 and 417,772.10 is: 626,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,204.40 : 865,806.60 = 417,772.10 : x
  2. Step 2: Convert to fraction form
    577,204.40/865,806.60 = 417,772.10/x
  3. Step 3: Cross multiply
    577,204.40x = 865,806.60 × 417,772.10
  4. Step 4: Simplify right side
    577,204.40x = 361,709,841,475.86
  5. Step 5: Solve for x
    x = 361,709,841,475.86/577,204.40
  6. Step 6: Final answer
    x = 626,658.15

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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.