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Finding the Fourth Proportional to 347,930.20, 521,117.70 and 285,722.20

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Solution

The fourth proportional to 347,930.20, 521,117.70 and 285,722.20 is: 427,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,930.20 : 521,117.70 = 285,722.20 : x
  2. Step 2: Convert to fraction form
    347,930.20/521,117.70 = 285,722.20/x
  3. Step 3: Cross multiply
    347,930.20x = 521,117.70 × 285,722.20
  4. Step 4: Simplify right side
    347,930.20x = 148,894,895,702.94
  5. Step 5: Solve for x
    x = 148,894,895,702.94/347,930.20
  6. Step 6: Final answer
    x = 427,944.73

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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.