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Finding the Fourth Proportional to 510,956.56, 705,138.52 and 317,470.96

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Solution

The fourth proportional to 510,956.56, 705,138.52 and 317,470.96 is: 438,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,956.56 : 705,138.52 = 317,470.96 : x
  2. Step 2: Convert to fraction form
    510,956.56/705,138.52 = 317,470.96/x
  3. Step 3: Cross multiply
    510,956.56x = 705,138.52 × 317,470.96
  4. Step 4: Simplify right side
    510,956.56x = 223,861,000,808.81
  5. Step 5: Solve for x
    x = 223,861,000,808.81/510,956.56
  6. Step 6: Final answer
    x = 438,121.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.