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Finding the Fourth Proportional to 418,208.13, 627,089.85 and 165,478.41

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Solution

The fourth proportional to 418,208.13, 627,089.85 and 165,478.41 is: 248,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,208.13 : 627,089.85 = 165,478.41 : x
  2. Step 2: Convert to fraction form
    418,208.13/627,089.85 = 165,478.41/x
  3. Step 3: Cross multiply
    418,208.13x = 627,089.85 × 165,478.41
  4. Step 4: Simplify right side
    418,208.13x = 103,769,831,305.14
  5. Step 5: Solve for x
    x = 103,769,831,305.14/418,208.13
  6. Step 6: Final answer
    x = 248,129.64

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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.