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Finding the Fourth Proportional to 547,419.42, 821,151.81 and 187,837.47

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Solution

The fourth proportional to 547,419.42, 821,151.81 and 187,837.47 is: 281,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,419.42 : 821,151.81 = 187,837.47 : x
  2. Step 2: Convert to fraction form
    547,419.42/821,151.81 = 187,837.47/x
  3. Step 3: Cross multiply
    547,419.42x = 821,151.81 × 187,837.47
  4. Step 4: Simplify right side
    547,419.42x = 154,243,078,476.32
  5. Step 5: Solve for x
    x = 154,243,078,476.32/547,419.42
  6. Step 6: Final answer
    x = 281,763.99

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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.