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Finding the Fourth Proportional to 288,694.98, 432,934.74 and 99,101.61

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Solution

The fourth proportional to 288,694.98, 432,934.74 and 99,101.61 is: 148,615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,694.98 : 432,934.74 = 99,101.61 : x
  2. Step 2: Convert to fraction form
    288,694.98/432,934.74 = 99,101.61/x
  3. Step 3: Cross multiply
    288,694.98x = 432,934.74 × 99,101.61
  4. Step 4: Simplify right side
    288,694.98x = 42,904,529,758.93
  5. Step 5: Solve for x
    x = 42,904,529,758.93/288,694.98
  6. Step 6: Final answer
    x = 148,615.43

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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.