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Finding the Fourth Proportional to 428,767.80, 642,690.90 and 162,425.40

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Solution

The fourth proportional to 428,767.80, 642,690.90 and 162,425.40 is: 243,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,767.80 : 642,690.90 = 162,425.40 : x
  2. Step 2: Convert to fraction form
    428,767.80/642,690.90 = 162,425.40/x
  3. Step 3: Cross multiply
    428,767.80x = 642,690.90 × 162,425.40
  4. Step 4: Simplify right side
    428,767.80x = 104,389,326,508.86
  5. Step 5: Solve for x
    x = 104,389,326,508.86/428,767.80
  6. Step 6: Final answer
    x = 243,463.54

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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.