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Finding the Fourth Proportional to 428,411.80, 642,617.70 and 218,459.80

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Solution

The fourth proportional to 428,411.80, 642,617.70 and 218,459.80 is: 327,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,411.80 : 642,617.70 = 218,459.80 : x
  2. Step 2: Convert to fraction form
    428,411.80/642,617.70 = 218,459.80/x
  3. Step 3: Cross multiply
    428,411.80x = 642,617.70 × 218,459.80
  4. Step 4: Simplify right side
    428,411.80x = 140,386,134,218.46
  5. Step 5: Solve for x
    x = 140,386,134,218.46/428,411.80
  6. Step 6: Final answer
    x = 327,689.70

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Similar ratio
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1.5x scale

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.