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Finding the Fourth Proportional to 381,835.76, 572,212.02 and 281,206.76

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Solution

The fourth proportional to 381,835.76, 572,212.02 and 281,206.76 is: 421,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,835.76 : 572,212.02 = 281,206.76 : x
  2. Step 2: Convert to fraction form
    381,835.76/572,212.02 = 281,206.76/x
  3. Step 3: Cross multiply
    381,835.76x = 572,212.02 × 281,206.76
  4. Step 4: Simplify right side
    381,835.76x = 160,909,888,177.26
  5. Step 5: Solve for x
    x = 160,909,888,177.26/381,835.76
  6. Step 6: Final answer
    x = 421,411.26

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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.