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Finding the Fourth Proportional to 428,805.20, 643,238.76 and 113,258

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Solution

The fourth proportional to 428,805.20, 643,238.76 and 113,258 is: 169,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,805.20 : 643,238.76 = 113,258 : x
  2. Step 2: Convert to fraction form
    428,805.20/643,238.76 = 113,258/x
  3. Step 3: Cross multiply
    428,805.20x = 643,238.76 × 113,258
  4. Step 4: Simplify right side
    428,805.20x = 72,851,935,480.08
  5. Step 5: Solve for x
    x = 72,851,935,480.08/428,805.20
  6. Step 6: Final answer
    x = 169,895.18

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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.