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Finding the Fourth Proportional to 418,430.63, 627,610.32 and 165,642.38

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Solution

The fourth proportional to 418,430.63, 627,610.32 and 165,642.38 is: 248,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,430.63 : 627,610.32 = 165,642.38 : x
  2. Step 2: Convert to fraction form
    418,430.63/627,610.32 = 165,642.38/x
  3. Step 3: Cross multiply
    418,430.63x = 627,610.32 × 165,642.38
  4. Step 4: Simplify right side
    418,430.63x = 103,958,863,979.31
  5. Step 5: Solve for x
    x = 103,958,863,979.31/418,430.63
  6. Step 6: Final answer
    x = 248,449.46

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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.