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Finding the Fourth Proportional to 288,724.07, 432,978.24 and 99,130.61

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Solution

The fourth proportional to 288,724.07, 432,978.24 and 99,130.61 is: 148,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,724.07 : 432,978.24 = 99,130.61 : x
  2. Step 2: Convert to fraction form
    288,724.07/432,978.24 = 99,130.61/x
  3. Step 3: Cross multiply
    288,724.07x = 432,978.24 × 99,130.61
  4. Step 4: Simplify right side
    288,724.07x = 42,921,397,047.93
  5. Step 5: Solve for x
    x = 42,921,397,047.93/288,724.07
  6. Step 6: Final answer
    x = 148,658.88

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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.