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Finding the Fourth Proportional to 312,437.60, 431,158.56 and 169,196.48

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Solution

The fourth proportional to 312,437.60, 431,158.56 and 169,196.48 is: 233,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,437.60 : 431,158.56 = 169,196.48 : x
  2. Step 2: Convert to fraction form
    312,437.60/431,158.56 = 169,196.48/x
  3. Step 3: Cross multiply
    312,437.60x = 431,158.56 × 169,196.48
  4. Step 4: Simplify right side
    312,437.60x = 72,950,510,673.87
  5. Step 5: Solve for x
    x = 72,950,510,673.87/312,437.60
  6. Step 6: Final answer
    x = 233,488.26

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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.