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Finding the Fourth Proportional to 312,325.80, 431,009.42 and 169,085.72

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Solution

The fourth proportional to 312,325.80, 431,009.42 and 169,085.72 is: 233,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,325.80 : 431,009.42 = 169,085.72 : x
  2. Step 2: Convert to fraction form
    312,325.80/431,009.42 = 169,085.72/x
  3. Step 3: Cross multiply
    312,325.80x = 431,009.42 × 169,085.72
  4. Step 4: Simplify right side
    312,325.80x = 72,877,538,107.48
  5. Step 5: Solve for x
    x = 72,877,538,107.48/312,325.80
  6. Step 6: Final answer
    x = 233,338.19

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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.