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Finding the Fourth Proportional to 282,061.75, 389,238.20 and 157,880.98

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Solution

The fourth proportional to 282,061.75, 389,238.20 and 157,880.98 is: 217,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,061.75 : 389,238.20 = 157,880.98 : x
  2. Step 2: Convert to fraction form
    282,061.75/389,238.20 = 157,880.98/x
  3. Step 3: Cross multiply
    282,061.75x = 389,238.20 × 157,880.98
  4. Step 4: Simplify right side
    282,061.75x = 61,453,308,166.58
  5. Step 5: Solve for x
    x = 61,453,308,166.58/282,061.75
  6. Step 6: Final answer
    x = 217,871.83

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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.