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Finding the Fourth Proportional to 702,398.48, 969,248.70 and 412,068.56

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Solution

The fourth proportional to 702,398.48, 969,248.70 and 412,068.56 is: 568,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,398.48 : 969,248.70 = 412,068.56 : x
  2. Step 2: Convert to fraction form
    702,398.48/969,248.70 = 412,068.56/x
  3. Step 3: Cross multiply
    702,398.48x = 969,248.70 × 412,068.56
  4. Step 4: Simplify right side
    702,398.48x = 399,396,916,090.87
  5. Step 5: Solve for x
    x = 399,396,916,090.87/702,398.48
  6. Step 6: Final answer
    x = 568,618.71

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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.