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Finding the Fourth Proportional to 428,806.20, 643,240.26 and 113,259

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Solution

The fourth proportional to 428,806.20, 643,240.26 and 113,259 is: 169,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,806.20 : 643,240.26 = 113,259 : x
  2. Step 2: Convert to fraction form
    428,806.20/643,240.26 = 113,259/x
  3. Step 3: Cross multiply
    428,806.20x = 643,240.26 × 113,259
  4. Step 4: Simplify right side
    428,806.20x = 72,852,748,607.34
  5. Step 5: Solve for x
    x = 72,852,748,607.34/428,806.20
  6. Step 6: Final answer
    x = 169,896.68

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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.