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Finding the Fourth Proportional to 437,534.04, 656,314.92 and 138,017.28

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Solution

The fourth proportional to 437,534.04, 656,314.92 and 138,017.28 is: 207,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,534.04 : 656,314.92 = 138,017.28 : x
  2. Step 2: Convert to fraction form
    437,534.04/656,314.92 = 138,017.28/x
  3. Step 3: Cross multiply
    437,534.04x = 656,314.92 × 138,017.28
  4. Step 4: Simplify right side
    437,534.04x = 90,582,800,081.82
  5. Step 5: Solve for x
    x = 90,582,800,081.82/437,534.04
  6. Step 6: Final answer
    x = 207,030.29

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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.