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Finding the Fourth Proportional to 428,167.32, 642,324.84 and 143,885.16

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Solution

The fourth proportional to 428,167.32, 642,324.84 and 143,885.16 is: 215,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,167.32 : 642,324.84 = 143,885.16 : x
  2. Step 2: Convert to fraction form
    428,167.32/642,324.84 = 143,885.16/x
  3. Step 3: Cross multiply
    428,167.32x = 642,324.84 × 143,885.16
  4. Step 4: Simplify right side
    428,167.32x = 92,421,011,835.81
  5. Step 5: Solve for x
    x = 92,421,011,835.81/428,167.32
  6. Step 6: Final answer
    x = 215,852.56

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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.