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Finding the Fourth Proportional to 312,417.82, 431,138.64 and 169,177.87

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Solution

The fourth proportional to 312,417.82, 431,138.64 and 169,177.87 is: 233,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,417.82 : 431,138.64 = 169,177.87 : x
  2. Step 2: Convert to fraction form
    312,417.82/431,138.64 = 169,177.87/x
  3. Step 3: Cross multiply
    312,417.82x = 431,138.64 × 169,177.87
  4. Step 4: Simplify right side
    312,417.82x = 72,939,116,789.90
  5. Step 5: Solve for x
    x = 72,939,116,789.90/312,417.82
  6. Step 6: Final answer
    x = 233,466.57

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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.