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Finding the Fourth Proportional to 278,704.80, 417,929.40 and 89,128.26

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Solution

The fourth proportional to 278,704.80, 417,929.40 and 89,128.26 is: 133,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,704.80 : 417,929.40 = 89,128.26 : x
  2. Step 2: Convert to fraction form
    278,704.80/417,929.40 = 89,128.26/x
  3. Step 3: Cross multiply
    278,704.80x = 417,929.40 × 89,128.26
  4. Step 4: Simplify right side
    278,704.80x = 37,249,320,224.84
  5. Step 5: Solve for x
    x = 37,249,320,224.84/278,704.80
  6. Step 6: Final answer
    x = 133,651.52

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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.