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Finding the Fourth Proportional to 288,034.80, 432,052.20 and 138,346.80

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Solution

The fourth proportional to 288,034.80, 432,052.20 and 138,346.80 is: 207,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,034.80 : 432,052.20 = 138,346.80 : x
  2. Step 2: Convert to fraction form
    288,034.80/432,052.20 = 138,346.80/x
  3. Step 3: Cross multiply
    288,034.80x = 432,052.20 × 138,346.80
  4. Step 4: Simplify right side
    288,034.80x = 59,773,039,302.96
  5. Step 5: Solve for x
    x = 59,773,039,302.96/288,034.80
  6. Step 6: Final answer
    x = 207,520.20

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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.