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Finding the Fourth Proportional to 284,732.60, 426,321.30 and 205,417.40

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Solution

The fourth proportional to 284,732.60, 426,321.30 and 205,417.40 is: 307,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,732.60 : 426,321.30 = 205,417.40 : x
  2. Step 2: Convert to fraction form
    284,732.60/426,321.30 = 205,417.40/x
  3. Step 3: Cross multiply
    284,732.60x = 426,321.30 × 205,417.40
  4. Step 4: Simplify right side
    284,732.60x = 87,573,813,010.62
  5. Step 5: Solve for x
    x = 87,573,813,010.62/284,732.60
  6. Step 6: Final answer
    x = 307,565.11

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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.