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Finding the Fourth Proportional to 417,996.56, 627,018.48 and 133,712

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Solution

The fourth proportional to 417,996.56, 627,018.48 and 133,712 is: 200,575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,996.56 : 627,018.48 = 133,712 : x
  2. Step 2: Convert to fraction form
    417,996.56/627,018.48 = 133,712/x
  3. Step 3: Cross multiply
    417,996.56x = 627,018.48 × 133,712
  4. Step 4: Simplify right side
    417,996.56x = 83,839,894,997.76
  5. Step 5: Solve for x
    x = 83,839,894,997.76/417,996.56
  6. Step 6: Final answer
    x = 200,575.56

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1.5x scale

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.