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Finding the Fourth Proportional to 288,000.23, 431,984.16 and 88,320.06

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Solution

The fourth proportional to 288,000.23, 431,984.16 and 88,320.06 is: 132,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,000.23 : 431,984.16 = 88,320.06 : x
  2. Step 2: Convert to fraction form
    288,000.23/431,984.16 = 88,320.06/x
  3. Step 3: Cross multiply
    288,000.23x = 431,984.16 × 88,320.06
  4. Step 4: Simplify right side
    288,000.23x = 38,152,866,930.25
  5. Step 5: Solve for x
    x = 38,152,866,930.25/288,000.23
  6. Step 6: Final answer
    x = 132,475.13

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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.