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Finding the Fourth Proportional to 282,063.75, 389,240.95 and 157,882.98

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Solution

The fourth proportional to 282,063.75, 389,240.95 and 157,882.98 is: 217,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,063.75 : 389,240.95 = 157,882.98 : x
  2. Step 2: Convert to fraction form
    282,063.75/389,240.95 = 157,882.98/x
  3. Step 3: Cross multiply
    282,063.75x = 389,240.95 × 157,882.98
  4. Step 4: Simplify right side
    282,063.75x = 61,454,521,124.03
  5. Step 5: Solve for x
    x = 61,454,521,124.03/282,063.75
  6. Step 6: Final answer
    x = 217,874.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.