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Finding the Fourth Proportional to 508,079.12, 762,120 and 171,356.31

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Solution

The fourth proportional to 508,079.12, 762,120 and 171,356.31 is: 257,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,079.12 : 762,120 = 171,356.31 : x
  2. Step 2: Convert to fraction form
    508,079.12/762,120 = 171,356.31/x
  3. Step 3: Cross multiply
    508,079.12x = 762,120 × 171,356.31
  4. Step 4: Simplify right side
    508,079.12x = 130,594,070,977.20
  5. Step 5: Solve for x
    x = 130,594,070,977.20/508,079.12
  6. Step 6: Final answer
    x = 257,034.91

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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.