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Finding the Fourth Proportional to 513,005.60, 769,508.40 and 453,956.60

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Solution

The fourth proportional to 513,005.60, 769,508.40 and 453,956.60 is: 680,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,005.60 : 769,508.40 = 453,956.60 : x
  2. Step 2: Convert to fraction form
    513,005.60/769,508.40 = 453,956.60/x
  3. Step 3: Cross multiply
    513,005.60x = 769,508.40 × 453,956.60
  4. Step 4: Simplify right side
    513,005.60x = 349,323,416,935.44
  5. Step 5: Solve for x
    x = 349,323,416,935.44/513,005.60
  6. Step 6: Final answer
    x = 680,934.90

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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.