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Finding the Fourth Proportional to 312,417.32, 431,137.95 and 169,177.37

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Solution

The fourth proportional to 312,417.32, 431,137.95 and 169,177.37 is: 233,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,417.32 : 431,137.95 = 169,177.37 : x
  2. Step 2: Convert to fraction form
    312,417.32/431,137.95 = 169,177.37/x
  3. Step 3: Cross multiply
    312,417.32x = 431,137.95 × 169,177.37
  4. Step 4: Simplify right side
    312,417.32x = 72,938,784,488.19
  5. Step 5: Solve for x
    x = 72,938,784,488.19/312,417.32
  6. Step 6: Final answer
    x = 233,465.88

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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.