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Finding the Fourth Proportional to 457,141.25, 630,859.65 and 275,818.14

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Solution

The fourth proportional to 457,141.25, 630,859.65 and 275,818.14 is: 380,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,141.25 : 630,859.65 = 275,818.14 : x
  2. Step 2: Convert to fraction form
    457,141.25/630,859.65 = 275,818.14/x
  3. Step 3: Cross multiply
    457,141.25x = 630,859.65 × 275,818.14
  4. Step 4: Simplify right side
    457,141.25x = 174,002,535,264.05
  5. Step 5: Solve for x
    x = 174,002,535,264.05/457,141.25
  6. Step 6: Final answer
    x = 380,631.88

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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.