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Finding the Fourth Proportional to 282,148.44, 389,369.61 and 154,835.88

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Solution

The fourth proportional to 282,148.44, 389,369.61 and 154,835.88 is: 213,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,148.44 : 389,369.61 = 154,835.88 : x
  2. Step 2: Convert to fraction form
    282,148.44/389,369.61 = 154,835.88/x
  3. Step 3: Cross multiply
    282,148.44x = 389,369.61 × 154,835.88
  4. Step 4: Simplify right side
    282,148.44x = 60,288,386,209.61
  5. Step 5: Solve for x
    x = 60,288,386,209.61/282,148.44
  6. Step 6: Final answer
    x = 213,676.13

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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.