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Finding the Fourth Proportional to 415,160.52, 622,741.20 and 115,641.72

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Solution

The fourth proportional to 415,160.52, 622,741.20 and 115,641.72 is: 173,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,160.52 : 622,741.20 = 115,641.72 : x
  2. Step 2: Convert to fraction form
    415,160.52/622,741.20 = 115,641.72/x
  3. Step 3: Cross multiply
    415,160.52x = 622,741.20 × 115,641.72
  4. Step 4: Simplify right side
    415,160.52x = 72,014,863,482.86
  5. Step 5: Solve for x
    x = 72,014,863,482.86/415,160.52
  6. Step 6: Final answer
    x = 173,462.70

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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.