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Finding the Fourth Proportional to 281,515.86, 388,429.47 and 166,737.24

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Solution

The fourth proportional to 281,515.86, 388,429.47 and 166,737.24 is: 230,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,515.86 : 388,429.47 = 166,737.24 : x
  2. Step 2: Convert to fraction form
    281,515.86/388,429.47 = 166,737.24/x
  3. Step 3: Cross multiply
    281,515.86x = 388,429.47 × 166,737.24
  4. Step 4: Simplify right side
    281,515.86x = 64,765,657,762.46
  5. Step 5: Solve for x
    x = 64,765,657,762.46/281,515.86
  6. Step 6: Final answer
    x = 230,060.42

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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.