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Finding the Fourth Proportional to 438,476.60, 657,496.20 and 201,551.60

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Solution

The fourth proportional to 438,476.60, 657,496.20 and 201,551.60 is: 302,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,476.60 : 657,496.20 = 201,551.60 : x
  2. Step 2: Convert to fraction form
    438,476.60/657,496.20 = 201,551.60/x
  3. Step 3: Cross multiply
    438,476.60x = 657,496.20 × 201,551.60
  4. Step 4: Simplify right side
    438,476.60x = 132,519,411,103.92
  5. Step 5: Solve for x
    x = 132,519,411,103.92/438,476.60
  6. Step 6: Final answer
    x = 302,226.87

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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.