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Finding the Fourth Proportional to 459,843.90, 689,787.45 and 144,311.10

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Solution

The fourth proportional to 459,843.90, 689,787.45 and 144,311.10 is: 216,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,843.90 : 689,787.45 = 144,311.10 : x
  2. Step 2: Convert to fraction form
    459,843.90/689,787.45 = 144,311.10/x
  3. Step 3: Cross multiply
    459,843.90x = 689,787.45 × 144,311.10
  4. Step 4: Simplify right side
    459,843.90x = 99,543,985,675.70
  5. Step 5: Solve for x
    x = 99,543,985,675.70/459,843.90
  6. Step 6: Final answer
    x = 216,473.43

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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.