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Finding the Fourth Proportional to 513,656.96, 769,843.68 and 247,368

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Solution

The fourth proportional to 513,656.96, 769,843.68 and 247,368 is: 370,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,656.96 : 769,843.68 = 247,368 : x
  2. Step 2: Convert to fraction form
    513,656.96/769,843.68 = 247,368/x
  3. Step 3: Cross multiply
    513,656.96x = 769,843.68 × 247,368
  4. Step 4: Simplify right side
    513,656.96x = 190,434,691,434.24
  5. Step 5: Solve for x
    x = 190,434,691,434.24/513,656.96
  6. Step 6: Final answer
    x = 370,742.94

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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.