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Finding the Fourth Proportional to 387,139.32, 580,707.72 and 102,858.30

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Solution

The fourth proportional to 387,139.32, 580,707.72 and 102,858.30 is: 154,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,139.32 : 580,707.72 = 102,858.30 : x
  2. Step 2: Convert to fraction form
    387,139.32/580,707.72 = 102,858.30/x
  3. Step 3: Cross multiply
    387,139.32x = 580,707.72 × 102,858.30
  4. Step 4: Simplify right side
    387,139.32x = 59,730,608,876.08
  5. Step 5: Solve for x
    x = 59,730,608,876.08/387,139.32
  6. Step 6: Final answer
    x = 154,287.12

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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.