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Finding the Fourth Proportional to 314,869.62, 472,337.73 and 115,207.86

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Solution

The fourth proportional to 314,869.62, 472,337.73 and 115,207.86 is: 172,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,869.62 : 472,337.73 = 115,207.86 : x
  2. Step 2: Convert to fraction form
    314,869.62/472,337.73 = 115,207.86/x
  3. Step 3: Cross multiply
    314,869.62x = 472,337.73 × 115,207.86
  4. Step 4: Simplify right side
    314,869.62x = 54,417,019,070.56
  5. Step 5: Solve for x
    x = 54,417,019,070.56/314,869.62
  6. Step 6: Final answer
    x = 172,823.97

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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.