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Finding the Fourth Proportional to 311,952.20, 430,494.04 and 168,712.20

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Solution

The fourth proportional to 311,952.20, 430,494.04 and 168,712.20 is: 232,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,952.20 : 430,494.04 = 168,712.20 : x
  2. Step 2: Convert to fraction form
    311,952.20/430,494.04 = 168,712.20/x
  3. Step 3: Cross multiply
    311,952.20x = 430,494.04 × 168,712.20
  4. Step 4: Simplify right side
    311,952.20x = 72,629,596,786.18
  5. Step 5: Solve for x
    x = 72,629,596,786.18/311,952.20
  6. Step 6: Final answer
    x = 232,822.84

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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.