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Finding the Fourth Proportional to 300,781.17, 415,072.53 and 178,355.91

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Solution

The fourth proportional to 300,781.17, 415,072.53 and 178,355.91 is: 246,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,781.17 : 415,072.53 = 178,355.91 : x
  2. Step 2: Convert to fraction form
    300,781.17/415,072.53 = 178,355.91/x
  3. Step 3: Cross multiply
    300,781.17x = 415,072.53 × 178,355.91
  4. Step 4: Simplify right side
    300,781.17x = 74,030,638,804.15
  5. Step 5: Solve for x
    x = 74,030,638,804.15/300,781.17
  6. Step 6: Final answer
    x = 246,127.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.