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Finding the Fourth Proportional to 311,722.34, 430,168.19 and 175,755.08

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Solution

The fourth proportional to 311,722.34, 430,168.19 and 175,755.08 is: 242,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,722.34 : 430,168.19 = 175,755.08 : x
  2. Step 2: Convert to fraction form
    311,722.34/430,168.19 = 175,755.08/x
  3. Step 3: Cross multiply
    311,722.34x = 430,168.19 × 175,755.08
  4. Step 4: Simplify right side
    311,722.34x = 75,604,241,617.29
  5. Step 5: Solve for x
    x = 75,604,241,617.29/311,722.34
  6. Step 6: Final answer
    x = 242,537.13

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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.