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Finding the Fourth Proportional to 702,780.72, 969,798.06 and 396,837.24

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Solution

The fourth proportional to 702,780.72, 969,798.06 and 396,837.24 is: 547,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,780.72 : 969,798.06 = 396,837.24 : x
  2. Step 2: Convert to fraction form
    702,780.72/969,798.06 = 396,837.24/x
  3. Step 3: Cross multiply
    702,780.72x = 969,798.06 × 396,837.24
  4. Step 4: Simplify right side
    702,780.72x = 384,851,985,487.75
  5. Step 5: Solve for x
    x = 384,851,985,487.75/702,780.72
  6. Step 6: Final answer
    x = 547,613.18

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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.