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Finding the Fourth Proportional to 459,711.60, 689,956.20 and 207,380.40

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Solution

The fourth proportional to 459,711.60, 689,956.20 and 207,380.40 is: 311,245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,711.60 : 689,956.20 = 207,380.40 : x
  2. Step 2: Convert to fraction form
    459,711.60/689,956.20 = 207,380.40/x
  3. Step 3: Cross multiply
    459,711.60x = 689,956.20 × 207,380.40
  4. Step 4: Simplify right side
    459,711.60x = 143,083,392,738.48
  5. Step 5: Solve for x
    x = 143,083,392,738.48/459,711.60
  6. Step 6: Final answer
    x = 311,245.99

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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.