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Finding the Fourth Proportional to 459,406.28, 689,109.42 and 143,887.88

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Solution

The fourth proportional to 459,406.28, 689,109.42 and 143,887.88 is: 215,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,406.28 : 689,109.42 = 143,887.88 : x
  2. Step 2: Convert to fraction form
    459,406.28/689,109.42 = 143,887.88/x
  3. Step 3: Cross multiply
    459,406.28x = 689,109.42 × 143,887.88
  4. Step 4: Simplify right side
    459,406.28x = 99,154,493,531.83
  5. Step 5: Solve for x
    x = 99,154,493,531.83/459,406.28
  6. Step 6: Final answer
    x = 215,831.82

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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.