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Finding the Fourth Proportional to 418,143.56, 627,256.71 and 133,762.68

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Solution

The fourth proportional to 418,143.56, 627,256.71 and 133,762.68 is: 200,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,143.56 : 627,256.71 = 133,762.68 : x
  2. Step 2: Convert to fraction form
    418,143.56/627,256.71 = 133,762.68/x
  3. Step 3: Cross multiply
    418,143.56x = 627,256.71 × 133,762.68
  4. Step 4: Simplify right side
    418,143.56x = 83,903,538,577.58
  5. Step 5: Solve for x
    x = 83,903,538,577.58/418,143.56
  6. Step 6: Final answer
    x = 200,657.26

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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.