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Finding the Fourth Proportional to 418,430, 627,291.20 and 181,594.64

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Solution

The fourth proportional to 418,430, 627,291.20 and 181,594.64 is: 272,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,430 : 627,291.20 = 181,594.64 : x
  2. Step 2: Convert to fraction form
    418,430/627,291.20 = 181,594.64/x
  3. Step 3: Cross multiply
    418,430x = 627,291.20 × 181,594.64
  4. Step 4: Simplify right side
    418,430x = 113,912,719,639.17
  5. Step 5: Solve for x
    x = 113,912,719,639.17/418,430
  6. Step 6: Final answer
    x = 272,238.41

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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.