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Finding the Fourth Proportional to 282,138.40, 389,359.14 and 154,822.04

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Solution

The fourth proportional to 282,138.40, 389,359.14 and 154,822.04 is: 213,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,138.40 : 389,359.14 = 154,822.04 : x
  2. Step 2: Convert to fraction form
    282,138.40/389,359.14 = 154,822.04/x
  3. Step 3: Cross multiply
    282,138.40x = 389,359.14 × 154,822.04
  4. Step 4: Simplify right side
    282,138.40x = 60,281,376,347.45
  5. Step 5: Solve for x
    x = 60,281,376,347.45/282,138.40
  6. Step 6: Final answer
    x = 213,658.89

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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.