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Finding the Fourth Proportional to 305,431.80, 457,856.10 and 237,926.40

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Solution

The fourth proportional to 305,431.80, 457,856.10 and 237,926.40 is: 356,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,431.80 : 457,856.10 = 237,926.40 : x
  2. Step 2: Convert to fraction form
    305,431.80/457,856.10 = 237,926.40/x
  3. Step 3: Cross multiply
    305,431.80x = 457,856.10 × 237,926.40
  4. Step 4: Simplify right side
    305,431.80x = 108,936,053,591.04
  5. Step 5: Solve for x
    x = 108,936,053,591.04/305,431.80
  6. Step 6: Final answer
    x = 356,662.45

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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.