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Finding the Fourth Proportional to 478,062.69, 659,714.67 and 274,234.29

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Solution

The fourth proportional to 478,062.69, 659,714.67 and 274,234.29 is: 378,436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,062.69 : 659,714.67 = 274,234.29 : x
  2. Step 2: Convert to fraction form
    478,062.69/659,714.67 = 274,234.29/x
  3. Step 3: Cross multiply
    478,062.69x = 659,714.67 × 274,234.29
  4. Step 4: Simplify right side
    478,062.69x = 180,916,384,130.03
  5. Step 5: Solve for x
    x = 180,916,384,130.03/478,062.69
  6. Step 6: Final answer
    x = 378,436.53

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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.