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Finding the Fourth Proportional to 304,870.80, 457,354.80 and 127,286.40

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Solution

The fourth proportional to 304,870.80, 457,354.80 and 127,286.40 is: 190,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,870.80 : 457,354.80 = 127,286.40 : x
  2. Step 2: Convert to fraction form
    304,870.80/457,354.80 = 127,286.40/x
  3. Step 3: Cross multiply
    304,870.80x = 457,354.80 × 127,286.40
  4. Step 4: Simplify right side
    304,870.80x = 58,215,046,014.72
  5. Step 5: Solve for x
    x = 58,215,046,014.72/304,870.80
  6. Step 6: Final answer
    x = 190,949.89

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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.