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Finding the Fourth Proportional to 415,005.80, 622,508.70 and 289,034.60

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Solution

The fourth proportional to 415,005.80, 622,508.70 and 289,034.60 is: 433,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,005.80 : 622,508.70 = 289,034.60 : x
  2. Step 2: Convert to fraction form
    415,005.80/622,508.70 = 289,034.60/x
  3. Step 3: Cross multiply
    415,005.80x = 622,508.70 × 289,034.60
  4. Step 4: Simplify right side
    415,005.80x = 179,926,553,101.02
  5. Step 5: Solve for x
    x = 179,926,553,101.02/415,005.80
  6. Step 6: Final answer
    x = 433,551.90

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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.