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Finding the Fourth Proportional to 459,757.30, 689,661.88 and 139,919.58

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Solution

The fourth proportional to 459,757.30, 689,661.88 and 139,919.58 is: 209,887.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,757.30 : 689,661.88 = 139,919.58 : x
  2. Step 2: Convert to fraction form
    459,757.30/689,661.88 = 139,919.58/x
  3. Step 3: Cross multiply
    459,757.30x = 689,661.88 × 139,919.58
  4. Step 4: Simplify right side
    459,757.30x = 96,497,200,591.61
  5. Step 5: Solve for x
    x = 96,497,200,591.61/459,757.30
  6. Step 6: Final answer
    x = 209,887.26

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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.