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Finding the Fourth Proportional to 289,321.92, 433,961.28 and 89,643.84

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Solution

The fourth proportional to 289,321.92, 433,961.28 and 89,643.84 is: 134,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,321.92 : 433,961.28 = 89,643.84 : x
  2. Step 2: Convert to fraction form
    289,321.92/433,961.28 = 89,643.84/x
  3. Step 3: Cross multiply
    289,321.92x = 433,961.28 × 89,643.84
  4. Step 4: Simplify right side
    289,321.92x = 38,901,955,550.52
  5. Step 5: Solve for x
    x = 38,901,955,550.52/289,321.92
  6. Step 6: Final answer
    x = 134,459.07

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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.