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Finding the Fourth Proportional to 391,332.46, 586,758.82 and 166,564.90

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Solution

The fourth proportional to 391,332.46, 586,758.82 and 166,564.90 is: 249,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,332.46 : 586,758.82 = 166,564.90 : x
  2. Step 2: Convert to fraction form
    391,332.46/586,758.82 = 166,564.90/x
  3. Step 3: Cross multiply
    391,332.46x = 586,758.82 × 166,564.90
  4. Step 4: Simplify right side
    391,332.46x = 97,733,424,177.42
  5. Step 5: Solve for x
    x = 97,733,424,177.42/391,332.46
  6. Step 6: Final answer
    x = 249,745.25

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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.