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Finding the Fourth Proportional to 266,615.64, 399,842.68 and 140,187.76

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Solution

The fourth proportional to 266,615.64, 399,842.68 and 140,187.76 is: 210,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,615.64 : 399,842.68 = 140,187.76 : x
  2. Step 2: Convert to fraction form
    266,615.64/399,842.68 = 140,187.76/x
  3. Step 3: Cross multiply
    266,615.64x = 399,842.68 × 140,187.76
  4. Step 4: Simplify right side
    266,615.64x = 56,053,049,661.60
  5. Step 5: Solve for x
    x = 56,053,049,661.60/266,615.64
  6. Step 6: Final answer
    x = 210,239.17

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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.