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Finding the Fourth Proportional to 386,321.84, 579,340.80 and 133,537.52

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Solution

The fourth proportional to 386,321.84, 579,340.80 and 133,537.52 is: 200,257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,321.84 : 579,340.80 = 133,537.52 : x
  2. Step 2: Convert to fraction form
    386,321.84/579,340.80 = 133,537.52/x
  3. Step 3: Cross multiply
    386,321.84x = 579,340.80 × 133,537.52
  4. Step 4: Simplify right side
    386,321.84x = 77,363,733,666.82
  5. Step 5: Solve for x
    x = 77,363,733,666.82/386,321.84
  6. Step 6: Final answer
    x = 200,257.21

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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.