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Finding the Fourth Proportional to 384,385.66, 576,580.53 and 252,103.60

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Solution

The fourth proportional to 384,385.66, 576,580.53 and 252,103.60 is: 378,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,385.66 : 576,580.53 = 252,103.60 : x
  2. Step 2: Convert to fraction form
    384,385.66/576,580.53 = 252,103.60/x
  3. Step 3: Cross multiply
    384,385.66x = 576,580.53 × 252,103.60
  4. Step 4: Simplify right side
    384,385.66x = 145,358,027,302.91
  5. Step 5: Solve for x
    x = 145,358,027,302.91/384,385.66
  6. Step 6: Final answer
    x = 378,156.74

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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.