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Finding the Fourth Proportional to 423,537.60, 584,512.56 and 280,048.80

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Solution

The fourth proportional to 423,537.60, 584,512.56 and 280,048.80 is: 386,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,537.60 : 584,512.56 = 280,048.80 : x
  2. Step 2: Convert to fraction form
    423,537.60/584,512.56 = 280,048.80/x
  3. Step 3: Cross multiply
    423,537.60x = 584,512.56 × 280,048.80
  4. Step 4: Simplify right side
    423,537.60x = 163,692,041,012.93
  5. Step 5: Solve for x
    x = 163,692,041,012.93/423,537.60
  6. Step 6: Final answer
    x = 386,487.62

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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.