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Finding the Fourth Proportional to 415,957.14, 622,294.07 and 315,045.95

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Solution

The fourth proportional to 415,957.14, 622,294.07 and 315,045.95 is: 471,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,957.14 : 622,294.07 = 315,045.95 : x
  2. Step 2: Convert to fraction form
    415,957.14/622,294.07 = 315,045.95/x
  3. Step 3: Cross multiply
    415,957.14x = 622,294.07 × 315,045.95
  4. Step 4: Simplify right side
    415,957.14x = 196,051,221,775.82
  5. Step 5: Solve for x
    x = 196,051,221,775.82/415,957.14
  6. Step 6: Final answer
    x = 471,325.54

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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.