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Finding the Fourth Proportional to 418,097.75, 627,147.01 and 102,554.66

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Solution

The fourth proportional to 418,097.75, 627,147.01 and 102,554.66 is: 153,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,097.75 : 627,147.01 = 102,554.66 : x
  2. Step 2: Convert to fraction form
    418,097.75/627,147.01 = 102,554.66/x
  3. Step 3: Cross multiply
    418,097.75x = 627,147.01 × 102,554.66
  4. Step 4: Simplify right side
    418,097.75x = 64,316,845,972.06
  5. Step 5: Solve for x
    x = 64,316,845,972.06/418,097.75
  6. Step 6: Final answer
    x = 153,832.08

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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.