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Finding the Fourth Proportional to 304,963.04, 420,849.12 and 185,731.04

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Solution

The fourth proportional to 304,963.04, 420,849.12 and 185,731.04 is: 256,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,963.04 : 420,849.12 = 185,731.04 : x
  2. Step 2: Convert to fraction form
    304,963.04/420,849.12 = 185,731.04/x
  3. Step 3: Cross multiply
    304,963.04x = 420,849.12 × 185,731.04
  4. Step 4: Simplify right side
    304,963.04x = 78,164,744,740.68
  5. Step 5: Solve for x
    x = 78,164,744,740.68/304,963.04
  6. Step 6: Final answer
    x = 256,308.91

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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.