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Finding the Fourth Proportional to 281,095.72, 387,910.86 and 152,034.33

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Solution

The fourth proportional to 281,095.72, 387,910.86 and 152,034.33 is: 209,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,095.72 : 387,910.86 = 152,034.33 : x
  2. Step 2: Convert to fraction form
    281,095.72/387,910.86 = 152,034.33/x
  3. Step 3: Cross multiply
    281,095.72x = 387,910.86 × 152,034.33
  4. Step 4: Simplify right side
    281,095.72x = 58,975,768,584.36
  5. Step 5: Solve for x
    x = 58,975,768,584.36/281,095.72
  6. Step 6: Final answer
    x = 209,806.71

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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.