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Finding the Fourth Proportional to 458,138.70, 687,013.65 and 221,553.90

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Solution

The fourth proportional to 458,138.70, 687,013.65 and 221,553.90 is: 332,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,138.70 : 687,013.65 = 221,553.90 : x
  2. Step 2: Convert to fraction form
    458,138.70/687,013.65 = 221,553.90/x
  3. Step 3: Cross multiply
    458,138.70x = 687,013.65 × 221,553.90
  4. Step 4: Simplify right side
    458,138.70x = 152,210,553,510.74
  5. Step 5: Solve for x
    x = 152,210,553,510.74/458,138.70
  6. Step 6: Final answer
    x = 332,236.84

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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.