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Finding the Fourth Proportional to 278,459.40, 417,622.17 and 128,555.71

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Solution

The fourth proportional to 278,459.40, 417,622.17 and 128,555.71 is: 192,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,459.40 : 417,622.17 = 128,555.71 : x
  2. Step 2: Convert to fraction form
    278,459.40/417,622.17 = 128,555.71/x
  3. Step 3: Cross multiply
    278,459.40x = 417,622.17 × 128,555.71
  4. Step 4: Simplify right side
    278,459.40x = 53,687,714,014.12
  5. Step 5: Solve for x
    x = 53,687,714,014.12/278,459.40
  6. Step 6: Final answer
    x = 192,802.66

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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.