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Finding the Fourth Proportional to 311,952.32, 430,494.48 and 168,712.37

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Solution

The fourth proportional to 311,952.32, 430,494.48 and 168,712.37 is: 232,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,952.32 : 430,494.48 = 168,712.37 : x
  2. Step 2: Convert to fraction form
    311,952.32/430,494.48 = 168,712.37/x
  3. Step 3: Cross multiply
    311,952.32x = 430,494.48 × 168,712.37
  4. Step 4: Simplify right side
    311,952.32x = 72,629,741,840.25
  5. Step 5: Solve for x
    x = 72,629,741,840.25/311,952.32
  6. Step 6: Final answer
    x = 232,823.22

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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.