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Finding the Fourth Proportional to 513,198.15, 769,294.46 and 285,602.32

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Solution

The fourth proportional to 513,198.15, 769,294.46 and 285,602.32 is: 428,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,198.15 : 769,294.46 = 285,602.32 : x
  2. Step 2: Convert to fraction form
    513,198.15/769,294.46 = 285,602.32/x
  3. Step 3: Cross multiply
    513,198.15x = 769,294.46 × 285,602.32
  4. Step 4: Simplify right side
    513,198.15x = 219,712,284,214.77
  5. Step 5: Solve for x
    x = 219,712,284,214.77/513,198.15
  6. Step 6: Final answer
    x = 428,123.69

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Similar ratio
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1.5x scale

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.