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Finding the Fourth Proportional to 266,538.48, 399,561.68 and 133,302.80

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Solution

The fourth proportional to 266,538.48, 399,561.68 and 133,302.80 is: 199,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,538.48 : 399,561.68 = 133,302.80 : x
  2. Step 2: Convert to fraction form
    266,538.48/399,561.68 = 133,302.80/x
  3. Step 3: Cross multiply
    266,538.48x = 399,561.68 × 133,302.80
  4. Step 4: Simplify right side
    266,538.48x = 53,262,689,052.15
  5. Step 5: Solve for x
    x = 53,262,689,052.15/266,538.48
  6. Step 6: Final answer
    x = 199,831.14

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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.