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Finding the Fourth Proportional to 577,877.80, 865,127.10 and 411,989.80

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Solution

The fourth proportional to 577,877.80, 865,127.10 and 411,989.80 is: 616,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,877.80 : 865,127.10 = 411,989.80 : x
  2. Step 2: Convert to fraction form
    577,877.80/865,127.10 = 411,989.80/x
  3. Step 3: Cross multiply
    577,877.80x = 865,127.10 × 411,989.80
  4. Step 4: Simplify right side
    577,877.80x = 356,423,540,903.58
  5. Step 5: Solve for x
    x = 356,423,540,903.58/577,877.80
  6. Step 6: Final answer
    x = 616,780.12

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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.