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Finding the Fourth Proportional to 512,299.83, 707,016.03 and 282,879.90

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Solution

The fourth proportional to 512,299.83, 707,016.03 and 282,879.90 is: 390,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,299.83 : 707,016.03 = 282,879.90 : x
  2. Step 2: Convert to fraction form
    512,299.83/707,016.03 = 282,879.90/x
  3. Step 3: Cross multiply
    512,299.83x = 707,016.03 × 282,879.90
  4. Step 4: Simplify right side
    512,299.83x = 200,000,623,864.80
  5. Step 5: Solve for x
    x = 200,000,623,864.80/512,299.83
  6. Step 6: Final answer
    x = 390,397.60

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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.