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Finding the Fourth Proportional to 407,712.78, 611,693.10 and 127,232.46

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Solution

The fourth proportional to 407,712.78, 611,693.10 and 127,232.46 is: 190,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,712.78 : 611,693.10 = 127,232.46 : x
  2. Step 2: Convert to fraction form
    407,712.78/611,693.10 = 127,232.46/x
  3. Step 3: Cross multiply
    407,712.78x = 611,693.10 × 127,232.46
  4. Step 4: Simplify right side
    407,712.78x = 77,827,217,878.03
  5. Step 5: Solve for x
    x = 77,827,217,878.03/407,712.78
  6. Step 6: Final answer
    x = 190,887.36

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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.