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Finding the Fourth Proportional to 311,861.52, 430,368.76 and 175,895.20

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Solution

The fourth proportional to 311,861.52, 430,368.76 and 175,895.20 is: 242,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,861.52 : 430,368.76 = 175,895.20 : x
  2. Step 2: Convert to fraction form
    311,861.52/430,368.76 = 175,895.20/x
  3. Step 3: Cross multiply
    311,861.52x = 430,368.76 × 175,895.20
  4. Step 4: Simplify right side
    311,861.52x = 75,699,799,113.95
  5. Step 5: Solve for x
    x = 75,699,799,113.95/311,861.52
  6. Step 6: Final answer
    x = 242,735.30

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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.