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Finding the Fourth Proportional to 428,748.30, 643,122.45 and 148,293.90

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Solution

The fourth proportional to 428,748.30, 643,122.45 and 148,293.90 is: 222,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,748.30 : 643,122.45 = 148,293.90 : x
  2. Step 2: Convert to fraction form
    428,748.30/643,122.45 = 148,293.90/x
  3. Step 3: Cross multiply
    428,748.30x = 643,122.45 × 148,293.90
  4. Step 4: Simplify right side
    428,748.30x = 95,371,136,288.06
  5. Step 5: Solve for x
    x = 95,371,136,288.06/428,748.30
  6. Step 6: Final answer
    x = 222,440.85

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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.