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Finding the Fourth Proportional to 472,956.16, 709,446.52 and 135,983.20

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Solution

The fourth proportional to 472,956.16, 709,446.52 and 135,983.20 is: 203,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,956.16 : 709,446.52 = 135,983.20 : x
  2. Step 2: Convert to fraction form
    472,956.16/709,446.52 = 135,983.20/x
  3. Step 3: Cross multiply
    472,956.16x = 709,446.52 × 135,983.20
  4. Step 4: Simplify right side
    472,956.16x = 96,472,808,018.46
  5. Step 5: Solve for x
    x = 96,472,808,018.46/472,956.16
  6. Step 6: Final answer
    x = 203,978.33

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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.