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Finding the Fourth Proportional to 765,909, 1,056,978.74 and 479,337.48

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Solution

The fourth proportional to 765,909, 1,056,978.74 and 479,337.48 is: 661,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,909 : 1,056,978.74 = 479,337.48 : x
  2. Step 2: Convert to fraction form
    765,909/1,056,978.74 = 479,337.48/x
  3. Step 3: Cross multiply
    765,909x = 1,056,978.74 × 479,337.48
  4. Step 4: Simplify right side
    765,909x = 506,649,525,645.18
  5. Step 5: Solve for x
    x = 506,649,525,645.18/765,909
  6. Step 6: Final answer
    x = 661,500.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.