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Finding the Fourth Proportional to 488,711.81, 732,837.66 and 189,332.57

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Solution

The fourth proportional to 488,711.81, 732,837.66 and 189,332.57 is: 283,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,711.81 : 732,837.66 = 189,332.57 : x
  2. Step 2: Convert to fraction form
    488,711.81/732,837.66 = 189,332.57/x
  3. Step 3: Cross multiply
    488,711.81x = 732,837.66 × 189,332.57
  4. Step 4: Simplify right side
    488,711.81x = 138,750,037,560.59
  5. Step 5: Solve for x
    x = 138,750,037,560.59/488,711.81
  6. Step 6: Final answer
    x = 283,909.73

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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.