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Finding the Fourth Proportional to 351,489.60, 527,461.20 and 193,831.20

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Solution

The fourth proportional to 351,489.60, 527,461.20 and 193,831.20 is: 290,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,489.60 : 527,461.20 = 193,831.20 : x
  2. Step 2: Convert to fraction form
    351,489.60/527,461.20 = 193,831.20/x
  3. Step 3: Cross multiply
    351,489.60x = 527,461.20 × 193,831.20
  4. Step 4: Simplify right side
    351,489.60x = 102,238,437,349.44
  5. Step 5: Solve for x
    x = 102,238,437,349.44/351,489.60
  6. Step 6: Final answer
    x = 290,871.87

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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.