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Finding the Fourth Proportional to 282,250.80, 389,510.52 and 154,938

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Solution

The fourth proportional to 282,250.80, 389,510.52 and 154,938 is: 213,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,250.80 : 389,510.52 = 154,938 : x
  2. Step 2: Convert to fraction form
    282,250.80/389,510.52 = 154,938/x
  3. Step 3: Cross multiply
    282,250.80x = 389,510.52 × 154,938
  4. Step 4: Simplify right side
    282,250.80x = 60,349,980,947.76
  5. Step 5: Solve for x
    x = 60,349,980,947.76/282,250.80
  6. Step 6: Final answer
    x = 213,816.86

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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.