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Finding the Fourth Proportional to 391,254.24, 586,904.40 and 110,748

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Solution

The fourth proportional to 391,254.24, 586,904.40 and 110,748 is: 166,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,254.24 : 586,904.40 = 110,748 : x
  2. Step 2: Convert to fraction form
    391,254.24/586,904.40 = 110,748/x
  3. Step 3: Cross multiply
    391,254.24x = 586,904.40 × 110,748
  4. Step 4: Simplify right side
    391,254.24x = 64,998,488,491.20
  5. Step 5: Solve for x
    x = 64,998,488,491.20/391,254.24
  6. Step 6: Final answer
    x = 166,128.52

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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.