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Finding the Fourth Proportional to 311,017.56, 428,811.89 and 203,417.16

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Solution

The fourth proportional to 311,017.56, 428,811.89 and 203,417.16 is: 280,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,017.56 : 428,811.89 = 203,417.16 : x
  2. Step 2: Convert to fraction form
    311,017.56/428,811.89 = 203,417.16/x
  3. Step 3: Cross multiply
    311,017.56x = 428,811.89 × 203,417.16
  4. Step 4: Simplify right side
    311,017.56x = 87,227,695,820.95
  5. Step 5: Solve for x
    x = 87,227,695,820.95/311,017.56
  6. Step 6: Final answer
    x = 280,459.07

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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.