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Finding the Fourth Proportional to 311,232, 429,519.36 and 177,095.68

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Solution

The fourth proportional to 311,232, 429,519.36 and 177,095.68 is: 244,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,232 : 429,519.36 = 177,095.68 : x
  2. Step 2: Convert to fraction form
    311,232/429,519.36 = 177,095.68/x
  3. Step 3: Cross multiply
    311,232x = 429,519.36 × 177,095.68
  4. Step 4: Simplify right side
    311,232x = 76,066,023,132.36
  5. Step 5: Solve for x
    x = 76,066,023,132.36/311,232
  6. Step 6: Final answer
    x = 244,402.96

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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.