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Finding the Fourth Proportional to 428,872.10, 643,308.15 and 113,360.90

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Solution

The fourth proportional to 428,872.10, 643,308.15 and 113,360.90 is: 170,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,872.10 : 643,308.15 = 113,360.90 : x
  2. Step 2: Convert to fraction form
    428,872.10/643,308.15 = 113,360.90/x
  3. Step 3: Cross multiply
    428,872.10x = 643,308.15 × 113,360.90
  4. Step 4: Simplify right side
    428,872.10x = 72,925,990,861.34
  5. Step 5: Solve for x
    x = 72,925,990,861.34/428,872.10
  6. Step 6: Final answer
    x = 170,041.35

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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.