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Finding the Fourth Proportional to 313,012.02, 431,978.04 and 177,046.08

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Solution

The fourth proportional to 313,012.02, 431,978.04 and 177,046.08 is: 244,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,012.02 : 431,978.04 = 177,046.08 : x
  2. Step 2: Convert to fraction form
    313,012.02/431,978.04 = 177,046.08/x
  3. Step 3: Cross multiply
    313,012.02x = 431,978.04 × 177,046.08
  4. Step 4: Simplify right side
    313,012.02x = 76,480,018,628.08
  5. Step 5: Solve for x
    x = 76,480,018,628.08/313,012.02
  6. Step 6: Final answer
    x = 244,335.72

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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.