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Finding the Fourth Proportional to 459,400.28, 689,100.42 and 143,881.88

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Solution

The fourth proportional to 459,400.28, 689,100.42 and 143,881.88 is: 215,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,400.28 : 689,100.42 = 143,881.88 : x
  2. Step 2: Convert to fraction form
    459,400.28/689,100.42 = 143,881.88/x
  3. Step 3: Cross multiply
    459,400.28x = 689,100.42 × 143,881.88
  4. Step 4: Simplify right side
    459,400.28x = 99,149,063,938.39
  5. Step 5: Solve for x
    x = 99,149,063,938.39/459,400.28
  6. Step 6: Final answer
    x = 215,822.82

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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.