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Finding the Fourth Proportional to 377,116.92, 520,430.25 and 205,044.72

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Solution

The fourth proportional to 377,116.92, 520,430.25 and 205,044.72 is: 282,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,116.92 : 520,430.25 = 205,044.72 : x
  2. Step 2: Convert to fraction form
    377,116.92/520,430.25 = 205,044.72/x
  3. Step 3: Cross multiply
    377,116.92x = 520,430.25 × 205,044.72
  4. Step 4: Simplify right side
    377,116.92x = 106,711,474,890.78
  5. Step 5: Solve for x
    x = 106,711,474,890.78/377,116.92
  6. Step 6: Final answer
    x = 282,966.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.