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Finding the Fourth Proportional to 313,120, 432,105.60 and 178,986.88

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Solution

The fourth proportional to 313,120, 432,105.60 and 178,986.88 is: 247,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,120 : 432,105.60 = 178,986.88 : x
  2. Step 2: Convert to fraction form
    313,120/432,105.60 = 178,986.88/x
  3. Step 3: Cross multiply
    313,120x = 432,105.60 × 178,986.88
  4. Step 4: Simplify right side
    313,120x = 77,341,233,174.53
  5. Step 5: Solve for x
    x = 77,341,233,174.53/313,120
  6. Step 6: Final answer
    x = 247,001.89

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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.