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Finding the Fourth Proportional to 281,418.65, 388,358.37 and 152,358.48

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Solution

The fourth proportional to 281,418.65, 388,358.37 and 152,358.48 is: 210,255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,418.65 : 388,358.37 = 152,358.48 : x
  2. Step 2: Convert to fraction form
    281,418.65/388,358.37 = 152,358.48/x
  3. Step 3: Cross multiply
    281,418.65x = 388,358.37 × 152,358.48
  4. Step 4: Simplify right side
    281,418.65x = 59,169,690,948.48
  5. Step 5: Solve for x
    x = 59,169,690,948.48/281,418.65
  6. Step 6: Final answer
    x = 210,255.05

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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.