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Finding the Fourth Proportional to 286,099.28, 428,981.56 and 86,359.76

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Solution

The fourth proportional to 286,099.28, 428,981.56 and 86,359.76 is: 129,489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,099.28 : 428,981.56 = 86,359.76 : x
  2. Step 2: Convert to fraction form
    286,099.28/428,981.56 = 86,359.76/x
  3. Step 3: Cross multiply
    286,099.28x = 428,981.56 × 86,359.76
  4. Step 4: Simplify right side
    286,099.28x = 37,046,744,566.03
  5. Step 5: Solve for x
    x = 37,046,744,566.03/286,099.28
  6. Step 6: Final answer
    x = 129,489.12

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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.