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Finding the Fourth Proportional to 478,047.43, 659,744.09 and 274,117.38

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Solution

The fourth proportional to 478,047.43, 659,744.09 and 274,117.38 is: 378,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,047.43 : 659,744.09 = 274,117.38 : x
  2. Step 2: Convert to fraction form
    478,047.43/659,744.09 = 274,117.38/x
  3. Step 3: Cross multiply
    478,047.43x = 659,744.09 × 274,117.38
  4. Step 4: Simplify right side
    478,047.43x = 180,847,321,421.28
  5. Step 5: Solve for x
    x = 180,847,321,421.28/478,047.43
  6. Step 6: Final answer
    x = 378,304.14

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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.