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Finding the Fourth Proportional to 266,643.88, 399,766.62 and 161,437.48

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Solution

The fourth proportional to 266,643.88, 399,766.62 and 161,437.48 is: 242,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,643.88 : 399,766.62 = 161,437.48 : x
  2. Step 2: Convert to fraction form
    266,643.88/399,766.62 = 161,437.48/x
  3. Step 3: Cross multiply
    266,643.88x = 399,766.62 × 161,437.48
  4. Step 4: Simplify right side
    266,643.88x = 64,537,315,720.92
  5. Step 5: Solve for x
    x = 64,537,315,720.92/266,643.88
  6. Step 6: Final answer
    x = 242,035.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.