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Finding the Fourth Proportional to 266,484.74, 399,934.40 and 185,999.84

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Solution

The fourth proportional to 266,484.74, 399,934.40 and 185,999.84 is: 279,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,484.74 : 399,934.40 = 185,999.84 : x
  2. Step 2: Convert to fraction form
    266,484.74/399,934.40 = 185,999.84/x
  3. Step 3: Cross multiply
    266,484.74x = 399,934.40 × 185,999.84
  4. Step 4: Simplify right side
    266,484.74x = 74,387,734,410.50
  5. Step 5: Solve for x
    x = 74,387,734,410.50/266,484.74
  6. Step 6: Final answer
    x = 279,144.44

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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.