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Finding the Fourth Proportional to 459,402.28, 689,103.42 and 143,883.88

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Solution

The fourth proportional to 459,402.28, 689,103.42 and 143,883.88 is: 215,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,402.28 : 689,103.42 = 143,883.88 : x
  2. Step 2: Convert to fraction form
    459,402.28/689,103.42 = 143,883.88/x
  3. Step 3: Cross multiply
    459,402.28x = 689,103.42 × 143,883.88
  4. Step 4: Simplify right side
    459,402.28x = 99,150,873,790.87
  5. Step 5: Solve for x
    x = 99,150,873,790.87/459,402.28
  6. Step 6: Final answer
    x = 215,825.82

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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.