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Finding the Fourth Proportional to 415,957.07, 622,293.98 and 315,045.90

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Solution

The fourth proportional to 415,957.07, 622,293.98 and 315,045.90 is: 471,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,957.07 : 622,293.98 = 315,045.90 : x
  2. Step 2: Convert to fraction form
    415,957.07/622,293.98 = 315,045.90/x
  3. Step 3: Cross multiply
    415,957.07x = 622,293.98 × 315,045.90
  4. Step 4: Simplify right side
    415,957.07x = 196,051,165,418.45
  5. Step 5: Solve for x
    x = 196,051,165,418.45/415,957.07
  6. Step 6: Final answer
    x = 471,325.48

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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.