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Finding the Fourth Proportional to 311,127.16, 429,227.76 and 230,752.48

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Solution

The fourth proportional to 311,127.16, 429,227.76 and 230,752.48 is: 318,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,127.16 : 429,227.76 = 230,752.48 : x
  2. Step 2: Convert to fraction form
    311,127.16/429,227.76 = 230,752.48/x
  3. Step 3: Cross multiply
    311,127.16x = 429,227.76 × 230,752.48
  4. Step 4: Simplify right side
    311,127.16x = 99,045,370,104.84
  5. Step 5: Solve for x
    x = 99,045,370,104.84/311,127.16
  6. Step 6: Final answer
    x = 318,343.70

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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.