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Finding the Fourth Proportional to 282,167.57, 389,396.01 and 154,855.01

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Solution

The fourth proportional to 282,167.57, 389,396.01 and 154,855.01 is: 213,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,167.57 : 389,396.01 = 154,855.01 : x
  2. Step 2: Convert to fraction form
    282,167.57/389,396.01 = 154,855.01/x
  3. Step 3: Cross multiply
    282,167.57x = 389,396.01 × 154,855.01
  4. Step 4: Simplify right side
    282,167.57x = 60,299,921,075.53
  5. Step 5: Solve for x
    x = 60,299,921,075.53/282,167.57
  6. Step 6: Final answer
    x = 213,702.52

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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.