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Finding the Fourth Proportional to 423,573.60, 584,562.24 and 280,084.80

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Solution

The fourth proportional to 423,573.60, 584,562.24 and 280,084.80 is: 386,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,573.60 : 584,562.24 = 280,084.80 : x
  2. Step 2: Convert to fraction form
    423,573.60/584,562.24 = 280,084.80/x
  3. Step 3: Cross multiply
    423,573.60x = 584,562.24 × 280,084.80
  4. Step 4: Simplify right side
    423,573.60x = 163,726,998,077.95
  5. Step 5: Solve for x
    x = 163,726,998,077.95/423,573.60
  6. Step 6: Final answer
    x = 386,537.31

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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.