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Finding the Fourth Proportional to 513,664.96, 769,855.68 and 247,376

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Solution

The fourth proportional to 513,664.96, 769,855.68 and 247,376 is: 370,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,664.96 : 769,855.68 = 247,376 : x
  2. Step 2: Convert to fraction form
    513,664.96/769,855.68 = 247,376/x
  3. Step 3: Cross multiply
    513,664.96x = 769,855.68 × 247,376
  4. Step 4: Simplify right side
    513,664.96x = 190,443,818,695.68
  5. Step 5: Solve for x
    x = 190,443,818,695.68/513,664.96
  6. Step 6: Final answer
    x = 370,754.93

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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.