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Finding the Fourth Proportional to 513,940.76, 709,229.67 and 284,493.20

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Solution

The fourth proportional to 513,940.76, 709,229.67 and 284,493.20 is: 392,595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,940.76 : 709,229.67 = 284,493.20 : x
  2. Step 2: Convert to fraction form
    513,940.76/709,229.67 = 284,493.20/x
  3. Step 3: Cross multiply
    513,940.76x = 709,229.67 × 284,493.20
  4. Step 4: Simplify right side
    513,940.76x = 201,771,013,740.25
  5. Step 5: Solve for x
    x = 201,771,013,740.25/513,940.76
  6. Step 6: Final answer
    x = 392,595.86

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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.