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Finding the Fourth Proportional to 288,084.30, 431,575.65 and 154,920.30

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Solution

The fourth proportional to 288,084.30, 431,575.65 and 154,920.30 is: 232,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,084.30 : 431,575.65 = 154,920.30 : x
  2. Step 2: Convert to fraction form
    288,084.30/431,575.65 = 154,920.30/x
  3. Step 3: Cross multiply
    288,084.30x = 431,575.65 × 154,920.30
  4. Step 4: Simplify right side
    288,084.30x = 66,859,829,170.70
  5. Step 5: Solve for x
    x = 66,859,829,170.70/288,084.30
  6. Step 6: Final answer
    x = 232,084.25

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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.