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Finding the Fourth Proportional to 459,843.40, 689,786.70 and 144,310.60

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Solution

The fourth proportional to 459,843.40, 689,786.70 and 144,310.60 is: 216,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,843.40 : 689,786.70 = 144,310.60 : x
  2. Step 2: Convert to fraction form
    459,843.40/689,786.70 = 144,310.60/x
  3. Step 3: Cross multiply
    459,843.40x = 689,786.70 × 144,310.60
  4. Step 4: Simplify right side
    459,843.40x = 99,543,532,549.02
  5. Step 5: Solve for x
    x = 99,543,532,549.02/459,843.40
  6. Step 6: Final answer
    x = 216,472.68

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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.