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Finding the Fourth Proportional to 287,218.80, 430,655.40 and 147,250.80

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Solution

The fourth proportional to 287,218.80, 430,655.40 and 147,250.80 is: 220,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,218.80 : 430,655.40 = 147,250.80 : x
  2. Step 2: Convert to fraction form
    287,218.80/430,655.40 = 147,250.80/x
  3. Step 3: Cross multiply
    287,218.80x = 430,655.40 × 147,250.80
  4. Step 4: Simplify right side
    287,218.80x = 63,414,352,174.32
  5. Step 5: Solve for x
    x = 63,414,352,174.32/287,218.80
  6. Step 6: Final answer
    x = 220,787.61

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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.