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Finding the Fourth Proportional to 315,267.78, 472,734.66 and 137,567.28

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Solution

The fourth proportional to 315,267.78, 472,734.66 and 137,567.28 is: 206,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,267.78 : 472,734.66 = 137,567.28 : x
  2. Step 2: Convert to fraction form
    315,267.78/472,734.66 = 137,567.28/x
  3. Step 3: Cross multiply
    315,267.78x = 472,734.66 × 137,567.28
  4. Step 4: Simplify right side
    315,267.78x = 65,032,821,337.92
  5. Step 5: Solve for x
    x = 65,032,821,337.92/315,267.78
  6. Step 6: Final answer
    x = 206,278.05

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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.