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Finding the Fourth Proportional to 304,542.42, 457,084.98 and 144,815.28

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Solution

The fourth proportional to 304,542.42, 457,084.98 and 144,815.28 is: 217,351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,542.42 : 457,084.98 = 144,815.28 : x
  2. Step 2: Convert to fraction form
    304,542.42/457,084.98 = 144,815.28/x
  3. Step 3: Cross multiply
    304,542.42x = 457,084.98 × 144,815.28
  4. Step 4: Simplify right side
    304,542.42x = 66,192,889,362.49
  5. Step 5: Solve for x
    x = 66,192,889,362.49/304,542.42
  6. Step 6: Final answer
    x = 217,351.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.