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Finding the Fourth Proportional to 311,356.87, 429,523.33 and 299,285.83

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Solution

The fourth proportional to 311,356.87, 429,523.33 and 299,285.83 is: 412,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,356.87 : 429,523.33 = 299,285.83 : x
  2. Step 2: Convert to fraction form
    311,356.87/429,523.33 = 299,285.83/x
  3. Step 3: Cross multiply
    311,356.87x = 429,523.33 × 299,285.83
  4. Step 4: Simplify right side
    311,356.87x = 128,550,246,323.41
  5. Step 5: Solve for x
    x = 128,550,246,323.41/311,356.87
  6. Step 6: Final answer
    x = 412,871.08

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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.