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Finding the Fourth Proportional to 311,528.24, 429,909.12 and 168,288.24

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Solution

The fourth proportional to 311,528.24, 429,909.12 and 168,288.24 is: 232,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,528.24 : 429,909.12 = 168,288.24 : x
  2. Step 2: Convert to fraction form
    311,528.24/429,909.12 = 168,288.24/x
  3. Step 3: Cross multiply
    311,528.24x = 429,909.12 × 168,288.24
  4. Step 4: Simplify right side
    311,528.24x = 72,348,649,164.75
  5. Step 5: Solve for x
    x = 72,348,649,164.75/311,528.24
  6. Step 6: Final answer
    x = 232,237.85

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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.