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Finding the Fourth Proportional to 331,712.66, 457,299.70 and 280,519.55

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Solution

The fourth proportional to 331,712.66, 457,299.70 and 280,519.55 is: 386,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,712.66 : 457,299.70 = 280,519.55 : x
  2. Step 2: Convert to fraction form
    331,712.66/457,299.70 = 280,519.55/x
  3. Step 3: Cross multiply
    331,712.66x = 457,299.70 × 280,519.55
  4. Step 4: Simplify right side
    331,712.66x = 128,281,503,071.34
  5. Step 5: Solve for x
    x = 128,281,503,071.34/331,712.66
  6. Step 6: Final answer
    x = 386,724.77

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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.