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Finding the Fourth Proportional to 423,540.60, 584,516.70 and 280,051.80

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Solution

The fourth proportional to 423,540.60, 584,516.70 and 280,051.80 is: 386,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,540.60 : 584,516.70 = 280,051.80 : x
  2. Step 2: Convert to fraction form
    423,540.60/584,516.70 = 280,051.80/x
  3. Step 3: Cross multiply
    423,540.60x = 584,516.70 × 280,051.80
  4. Step 4: Simplify right side
    423,540.60x = 163,694,953,965.06
  5. Step 5: Solve for x
    x = 163,694,953,965.06/423,540.60
  6. Step 6: Final answer
    x = 386,491.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.