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Finding the Fourth Proportional to 309,957.68, 464,875.29 and 85,260.12

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Solution

The fourth proportional to 309,957.68, 464,875.29 and 85,260.12 is: 127,873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,957.68 : 464,875.29 = 85,260.12 : x
  2. Step 2: Convert to fraction form
    309,957.68/464,875.29 = 85,260.12/x
  3. Step 3: Cross multiply
    309,957.68x = 464,875.29 × 85,260.12
  4. Step 4: Simplify right side
    309,957.68x = 39,635,323,010.43
  5. Step 5: Solve for x
    x = 39,635,323,010.43/309,957.68
  6. Step 6: Final answer
    x = 127,873.34

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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.