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Finding the Fourth Proportional to 317,876.66, 438,518.24 and 231,650.78

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Solution

The fourth proportional to 317,876.66, 438,518.24 and 231,650.78 is: 319,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,876.66 : 438,518.24 = 231,650.78 : x
  2. Step 2: Convert to fraction form
    317,876.66/438,518.24 = 231,650.78/x
  3. Step 3: Cross multiply
    317,876.66x = 438,518.24 × 231,650.78
  4. Step 4: Simplify right side
    317,876.66x = 101,583,092,340.23
  5. Step 5: Solve for x
    x = 101,583,092,340.23/317,876.66
  6. Step 6: Final answer
    x = 319,567.63

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1.5x scale

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.