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Finding the Fourth Proportional to 315,731.40, 471,293.89 and 275,872.92

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Solution

The fourth proportional to 315,731.40, 471,293.89 and 275,872.92 is: 411,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,731.40 : 471,293.89 = 275,872.92 : x
  2. Step 2: Convert to fraction form
    315,731.40/471,293.89 = 275,872.92/x
  3. Step 3: Cross multiply
    315,731.40x = 471,293.89 × 275,872.92
  4. Step 4: Simplify right side
    315,731.40x = 130,017,221,612.46
  5. Step 5: Solve for x
    x = 130,017,221,612.46/315,731.40
  6. Step 6: Final answer
    x = 411,796.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.