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Finding the Fourth Proportional to 278,488.70, 417,624.08 and 98,504.57

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Solution

The fourth proportional to 278,488.70, 417,624.08 and 98,504.57 is: 147,718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,488.70 : 417,624.08 = 98,504.57 : x
  2. Step 2: Convert to fraction form
    278,488.70/417,624.08 = 98,504.57/x
  3. Step 3: Cross multiply
    278,488.70x = 417,624.08 × 98,504.57
  4. Step 4: Simplify right side
    278,488.70x = 41,137,880,973.58
  5. Step 5: Solve for x
    x = 41,137,880,973.58/278,488.70
  6. Step 6: Final answer
    x = 147,718.31

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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.