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Finding the Fourth Proportional to 315,380.79, 472,458.42 and 280,038.87

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Solution

The fourth proportional to 315,380.79, 472,458.42 and 280,038.87 is: 419,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,380.79 : 472,458.42 = 280,038.87 : x
  2. Step 2: Convert to fraction form
    315,380.79/472,458.42 = 280,038.87/x
  3. Step 3: Cross multiply
    315,380.79x = 472,458.42 × 280,038.87
  4. Step 4: Simplify right side
    315,380.79x = 132,306,722,058.79
  5. Step 5: Solve for x
    x = 132,306,722,058.79/315,380.79
  6. Step 6: Final answer
    x = 419,514.21

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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.