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Finding the Fourth Proportional to 311,416.83, 429,755.23 and 168,176.87

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Solution

The fourth proportional to 311,416.83, 429,755.23 and 168,176.87 is: 232,084.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,416.83 : 429,755.23 = 168,176.87 : x
  2. Step 2: Convert to fraction form
    311,416.83/429,755.23 = 168,176.87/x
  3. Step 3: Cross multiply
    311,416.83x = 429,755.23 × 168,176.87
  4. Step 4: Simplify right side
    311,416.83x = 72,274,887,532.26
  5. Step 5: Solve for x
    x = 72,274,887,532.26/311,416.83
  6. Step 6: Final answer
    x = 232,084.08

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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.