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Finding the Fourth Proportional to 423,385.20, 584,278.20 and 232,416

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Solution

The fourth proportional to 423,385.20, 584,278.20 and 232,416 is: 320,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,385.20 : 584,278.20 = 232,416 : x
  2. Step 2: Convert to fraction form
    423,385.20/584,278.20 = 232,416/x
  3. Step 3: Cross multiply
    423,385.20x = 584,278.20 × 232,416
  4. Step 4: Simplify right side
    423,385.20x = 135,795,602,131.20
  5. Step 5: Solve for x
    x = 135,795,602,131.20/423,385.20
  6. Step 6: Final answer
    x = 320,737.72

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1.5x scale

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.