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Finding the Fourth Proportional to 313,418, 432,516.84 and 179,282

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Solution

The fourth proportional to 313,418, 432,516.84 and 179,282 is: 247,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,418 : 432,516.84 = 179,282 : x
  2. Step 2: Convert to fraction form
    313,418/432,516.84 = 179,282/x
  3. Step 3: Cross multiply
    313,418x = 432,516.84 × 179,282
  4. Step 4: Simplify right side
    313,418x = 77,542,484,108.88
  5. Step 5: Solve for x
    x = 77,542,484,108.88/313,418
  6. Step 6: Final answer
    x = 247,409.16

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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.