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Finding the Fourth Proportional to 381,606.30, 572,409.45 and 344,864.70

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Solution

The fourth proportional to 381,606.30, 572,409.45 and 344,864.70 is: 517,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,606.30 : 572,409.45 = 344,864.70 : x
  2. Step 2: Convert to fraction form
    381,606.30/572,409.45 = 344,864.70/x
  3. Step 3: Cross multiply
    381,606.30x = 572,409.45 × 344,864.70
  4. Step 4: Simplify right side
    381,606.30x = 197,403,813,251.42
  5. Step 5: Solve for x
    x = 197,403,813,251.42/381,606.30
  6. Step 6: Final answer
    x = 517,297.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.