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Finding the Fourth Proportional to 270,828.49, 406,001.82 and 128,586.01

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Solution

The fourth proportional to 270,828.49, 406,001.82 and 128,586.01 is: 192,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,828.49 : 406,001.82 = 128,586.01 : x
  2. Step 2: Convert to fraction form
    270,828.49/406,001.82 = 128,586.01/x
  3. Step 3: Cross multiply
    270,828.49x = 406,001.82 × 128,586.01
  4. Step 4: Simplify right side
    270,828.49x = 52,206,152,449.81
  5. Step 5: Solve for x
    x = 52,206,152,449.81/270,828.49
  6. Step 6: Final answer
    x = 192,764.63

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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.