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Finding the Fourth Proportional to 417,828, 577,077.39 and 281,627.22

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Solution

The fourth proportional to 417,828, 577,077.39 and 281,627.22 is: 388,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,828 : 577,077.39 = 281,627.22 : x
  2. Step 2: Convert to fraction form
    417,828/577,077.39 = 281,627.22/x
  3. Step 3: Cross multiply
    417,828x = 577,077.39 × 281,627.22
  4. Step 4: Simplify right side
    417,828x = 162,520,701,070.56
  5. Step 5: Solve for x
    x = 162,520,701,070.56/417,828
  6. Step 6: Final answer
    x = 388,965.56

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1.5x scale

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.