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Finding the Fourth Proportional to 438,546.60, 657,309.60 and 201,913.20

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Solution

The fourth proportional to 438,546.60, 657,309.60 and 201,913.20 is: 302,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,546.60 : 657,309.60 = 201,913.20 : x
  2. Step 2: Convert to fraction form
    438,546.60/657,309.60 = 201,913.20/x
  3. Step 3: Cross multiply
    438,546.60x = 657,309.60 × 201,913.20
  4. Step 4: Simplify right side
    438,546.60x = 132,719,484,726.72
  5. Step 5: Solve for x
    x = 132,719,484,726.72/438,546.60
  6. Step 6: Final answer
    x = 302,634.85

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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.