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Finding the Fourth Proportional to 354,167.83, 488,757.65 and 193,031.72

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Solution

The fourth proportional to 354,167.83, 488,757.65 and 193,031.72 is: 266,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,167.83 : 488,757.65 = 193,031.72 : x
  2. Step 2: Convert to fraction form
    354,167.83/488,757.65 = 193,031.72/x
  3. Step 3: Cross multiply
    354,167.83x = 488,757.65 × 193,031.72
  4. Step 4: Simplify right side
    354,167.83x = 94,345,726,433.71
  5. Step 5: Solve for x
    x = 94,345,726,433.71/354,167.83
  6. Step 6: Final answer
    x = 266,387.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.