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Finding the Fourth Proportional to 428,089.70, 591,160.89 and 320,472.90

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Solution

The fourth proportional to 428,089.70, 591,160.89 and 320,472.90 is: 442,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,089.70 : 591,160.89 = 320,472.90 : x
  2. Step 2: Convert to fraction form
    428,089.70/591,160.89 = 320,472.90/x
  3. Step 3: Cross multiply
    428,089.70x = 591,160.89 × 320,472.90
  4. Step 4: Simplify right side
    428,089.70x = 189,451,044,784.88
  5. Step 5: Solve for x
    x = 189,451,044,784.88/428,089.70
  6. Step 6: Final answer
    x = 442,549.88

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1.5x scale

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.