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Finding the Fourth Proportional to 428,764.80, 642,686.40 and 162,422.40

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Solution

The fourth proportional to 428,764.80, 642,686.40 and 162,422.40 is: 243,459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,764.80 : 642,686.40 = 162,422.40 : x
  2. Step 2: Convert to fraction form
    428,764.80/642,686.40 = 162,422.40/x
  3. Step 3: Cross multiply
    428,764.80x = 642,686.40 × 162,422.40
  4. Step 4: Simplify right side
    428,764.80x = 104,386,667,535.36
  5. Step 5: Solve for x
    x = 104,386,667,535.36/428,764.80
  6. Step 6: Final answer
    x = 243,459.04

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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.