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Finding the Fourth Proportional to 418,315.48, 627,467.75 and 102,775.12

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Solution

The fourth proportional to 418,315.48, 627,467.75 and 102,775.12 is: 154,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,315.48 : 627,467.75 = 102,775.12 : x
  2. Step 2: Convert to fraction form
    418,315.48/627,467.75 = 102,775.12/x
  3. Step 3: Cross multiply
    418,315.48x = 627,467.75 × 102,775.12
  4. Step 4: Simplify right side
    418,315.48x = 64,488,073,302.38
  5. Step 5: Solve for x
    x = 64,488,073,302.38/418,315.48
  6. Step 6: Final answer
    x = 154,161.34

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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.