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Finding the Fourth Proportional to 418,079.93, 577,189.70 and 275,255.16

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Solution

The fourth proportional to 418,079.93, 577,189.70 and 275,255.16 is: 380,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,079.93 : 577,189.70 = 275,255.16 : x
  2. Step 2: Convert to fraction form
    418,079.93/577,189.70 = 275,255.16/x
  3. Step 3: Cross multiply
    418,079.93x = 577,189.70 × 275,255.16
  4. Step 4: Simplify right side
    418,079.93x = 158,874,443,223.85
  5. Step 5: Solve for x
    x = 158,874,443,223.85/418,079.93
  6. Step 6: Final answer
    x = 380,009.73

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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.