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Finding the Fourth Proportional to 281,014.80, 387,776.16 and 158,500.43

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Solution

The fourth proportional to 281,014.80, 387,776.16 and 158,500.43 is: 218,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,014.80 : 387,776.16 = 158,500.43 : x
  2. Step 2: Convert to fraction form
    281,014.80/387,776.16 = 158,500.43/x
  3. Step 3: Cross multiply
    281,014.80x = 387,776.16 × 158,500.43
  4. Step 4: Simplify right side
    281,014.80x = 61,462,689,073.19
  5. Step 5: Solve for x
    x = 61,462,689,073.19/281,014.80
  6. Step 6: Final answer
    x = 218,716.91

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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.