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Finding the Fourth Proportional to 281,394.80, 388,324.40 and 152,332.64

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Solution

The fourth proportional to 281,394.80, 388,324.40 and 152,332.64 is: 210,218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,394.80 : 388,324.40 = 152,332.64 : x
  2. Step 2: Convert to fraction form
    281,394.80/388,324.40 = 152,332.64/x
  3. Step 3: Cross multiply
    281,394.80x = 388,324.40 × 152,332.64
  4. Step 4: Simplify right side
    281,394.80x = 59,154,481,028.42
  5. Step 5: Solve for x
    x = 59,154,481,028.42/281,394.80
  6. Step 6: Final answer
    x = 210,218.81

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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.