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Finding the Fourth Proportional to 288,155.34, 432,385.29 and 204,456.42

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Solution

The fourth proportional to 288,155.34, 432,385.29 and 204,456.42 is: 306,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,155.34 : 432,385.29 = 204,456.42 : x
  2. Step 2: Convert to fraction form
    288,155.34/432,385.29 = 204,456.42/x
  3. Step 3: Cross multiply
    288,155.34x = 432,385.29 × 204,456.42
  4. Step 4: Simplify right side
    288,155.34x = 88,403,948,454.06
  5. Step 5: Solve for x
    x = 88,403,948,454.06/288,155.34
  6. Step 6: Final answer
    x = 306,792.68

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1.5x scale

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.