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Finding the Fourth Proportional to 513,196.84, 769,866.54 and 158,238.76

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Solution

The fourth proportional to 513,196.84, 769,866.54 and 158,238.76 is: 237,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,196.84 : 769,866.54 = 158,238.76 : x
  2. Step 2: Convert to fraction form
    513,196.84/769,866.54 = 158,238.76/x
  3. Step 3: Cross multiply
    513,196.84x = 769,866.54 × 158,238.76
  4. Step 4: Simplify right side
    513,196.84x = 121,822,726,655.09
  5. Step 5: Solve for x
    x = 121,822,726,655.09/513,196.84
  6. Step 6: Final answer
    x = 237,380.12

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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.