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Finding the Fourth Proportional to 278,558.65, 417,539.76 and 128,624.41

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Solution

The fourth proportional to 278,558.65, 417,539.76 and 128,624.41 is: 192,798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,558.65 : 417,539.76 = 128,624.41 : x
  2. Step 2: Convert to fraction form
    278,558.65/417,539.76 = 128,624.41/x
  3. Step 3: Cross multiply
    278,558.65x = 417,539.76 × 128,624.41
  4. Step 4: Simplify right side
    278,558.65x = 53,705,805,281.54
  5. Step 5: Solve for x
    x = 53,705,805,281.54/278,558.65
  6. Step 6: Final answer
    x = 192,798.91

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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.