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Finding the Fourth Proportional to 385,452, 577,794.06 and 185,715.72

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Solution

The fourth proportional to 385,452, 577,794.06 and 185,715.72 is: 278,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,452 : 577,794.06 = 185,715.72 : x
  2. Step 2: Convert to fraction form
    385,452/577,794.06 = 185,715.72/x
  3. Step 3: Cross multiply
    385,452x = 577,794.06 × 185,715.72
  4. Step 4: Simplify right side
    385,452x = 107,305,439,864.62
  5. Step 5: Solve for x
    x = 107,305,439,864.62/385,452
  6. Step 6: Final answer
    x = 278,388.59

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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.