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Finding the Fourth Proportional to 457,042.77, 685,342.62 and 229,240.53

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Solution

The fourth proportional to 457,042.77, 685,342.62 and 229,240.53 is: 343,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,042.77 : 685,342.62 = 229,240.53 : x
  2. Step 2: Convert to fraction form
    457,042.77/685,342.62 = 229,240.53/x
  3. Step 3: Cross multiply
    457,042.77x = 685,342.62 × 229,240.53
  4. Step 4: Simplify right side
    457,042.77x = 157,108,305,440.39
  5. Step 5: Solve for x
    x = 157,108,305,440.39/457,042.77
  6. Step 6: Final answer
    x = 343,749.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.