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Finding the Fourth Proportional to 377,876.64, 521,491.68 and 216,730.56

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Solution

The fourth proportional to 377,876.64, 521,491.68 and 216,730.56 is: 299,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,876.64 : 521,491.68 = 216,730.56 : x
  2. Step 2: Convert to fraction form
    377,876.64/521,491.68 = 216,730.56/x
  3. Step 3: Cross multiply
    377,876.64x = 521,491.68 × 216,730.56
  4. Step 4: Simplify right side
    377,876.64x = 113,023,183,841.74
  5. Step 5: Solve for x
    x = 113,023,183,841.74/377,876.64
  6. Step 6: Final answer
    x = 299,100.74

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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.