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Finding the Fourth Proportional to 270,787.47, 406,098.05 and 187,085.51

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Solution

The fourth proportional to 270,787.47, 406,098.05 and 187,085.51 is: 280,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,787.47 : 406,098.05 = 187,085.51 : x
  2. Step 2: Convert to fraction form
    270,787.47/406,098.05 = 187,085.51/x
  3. Step 3: Cross multiply
    270,787.47x = 406,098.05 × 187,085.51
  4. Step 4: Simplify right side
    270,787.47x = 75,975,057,828.34
  5. Step 5: Solve for x
    x = 75,975,057,828.34/270,787.47
  6. Step 6: Final answer
    x = 280,570.80

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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.