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Finding the Fourth Proportional to 616,978.40, 924,155.40 and 512,002.40

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Solution

The fourth proportional to 616,978.40, 924,155.40 and 512,002.40 is: 766,914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,978.40 : 924,155.40 = 512,002.40 : x
  2. Step 2: Convert to fraction form
    616,978.40/924,155.40 = 512,002.40/x
  3. Step 3: Cross multiply
    616,978.40x = 924,155.40 × 512,002.40
  4. Step 4: Simplify right side
    616,978.40x = 473,169,782,772.96
  5. Step 5: Solve for x
    x = 473,169,782,772.96/616,978.40
  6. Step 6: Final answer
    x = 766,914.66

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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.