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Finding the Fourth Proportional to 288,254.76, 432,382.14 and 147,923.88

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Solution

The fourth proportional to 288,254.76, 432,382.14 and 147,923.88 is: 221,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,254.76 : 432,382.14 = 147,923.88 : x
  2. Step 2: Convert to fraction form
    288,254.76/432,382.14 = 147,923.88/x
  3. Step 3: Cross multiply
    288,254.76x = 432,382.14 × 147,923.88
  4. Step 4: Simplify right side
    288,254.76x = 63,959,643,791.50
  5. Step 5: Solve for x
    x = 63,959,643,791.50/288,254.76
  6. Step 6: Final answer
    x = 221,885.82

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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.