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Finding the Fourth Proportional to 310,868.47, 428,998.50 and 176,732.47

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Solution

The fourth proportional to 310,868.47, 428,998.50 and 176,732.47 is: 243,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,868.47 : 428,998.50 = 176,732.47 : x
  2. Step 2: Convert to fraction form
    310,868.47/428,998.50 = 176,732.47/x
  3. Step 3: Cross multiply
    310,868.47x = 428,998.50 × 176,732.47
  4. Step 4: Simplify right side
    310,868.47x = 75,817,964,531.30
  5. Step 5: Solve for x
    x = 75,817,964,531.30/310,868.47
  6. Step 6: Final answer
    x = 243,890.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.