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Finding the Fourth Proportional to 313,708.78, 432,913.76 and 174,003.12

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Solution

The fourth proportional to 313,708.78, 432,913.76 and 174,003.12 is: 240,121.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,708.78 : 432,913.76 = 174,003.12 : x
  2. Step 2: Convert to fraction form
    313,708.78/432,913.76 = 174,003.12/x
  3. Step 3: Cross multiply
    313,708.78x = 432,913.76 × 174,003.12
  4. Step 4: Simplify right side
    313,708.78x = 75,328,344,713.43
  5. Step 5: Solve for x
    x = 75,328,344,713.43/313,708.78
  6. Step 6: Final answer
    x = 240,121.89

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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.