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Finding the Fourth Proportional to 281,462.50, 388,303.50 and 166,655.80

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Solution

The fourth proportional to 281,462.50, 388,303.50 and 166,655.80 is: 229,917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,462.50 : 388,303.50 = 166,655.80 : x
  2. Step 2: Convert to fraction form
    281,462.50/388,303.50 = 166,655.80/x
  3. Step 3: Cross multiply
    281,462.50x = 388,303.50 × 166,655.80
  4. Step 4: Simplify right side
    281,462.50x = 64,713,030,435.30
  5. Step 5: Solve for x
    x = 64,713,030,435.30/281,462.50
  6. Step 6: Final answer
    x = 229,917.06

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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.