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Finding the Fourth Proportional to 281,812.86, 388,901.97 and 152,751.15

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Solution

The fourth proportional to 281,812.86, 388,901.97 and 152,751.15 is: 210,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,812.86 : 388,901.97 = 152,751.15 : x
  2. Step 2: Convert to fraction form
    281,812.86/388,901.97 = 152,751.15/x
  3. Step 3: Cross multiply
    281,812.86x = 388,901.97 × 152,751.15
  4. Step 4: Simplify right side
    281,812.86x = 59,405,223,154.77
  5. Step 5: Solve for x
    x = 59,405,223,154.77/281,812.86
  6. Step 6: Final answer
    x = 210,796.71

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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.