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Finding the Fourth Proportional to 415,715.60, 622,698.60 and 345,731.60

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Solution

The fourth proportional to 415,715.60, 622,698.60 and 345,731.60 is: 517,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,715.60 : 622,698.60 = 345,731.60 : x
  2. Step 2: Convert to fraction form
    415,715.60/622,698.60 = 345,731.60/x
  3. Step 3: Cross multiply
    415,715.60x = 622,698.60 × 345,731.60
  4. Step 4: Simplify right side
    415,715.60x = 215,286,583,295.76
  5. Step 5: Solve for x
    x = 215,286,583,295.76/415,715.60
  6. Step 6: Final answer
    x = 517,869.87

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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.