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Finding the Fourth Proportional to 371,548.44, 512,742.78 and 201,782.55

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Solution

The fourth proportional to 371,548.44, 512,742.78 and 201,782.55 is: 278,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,548.44 : 512,742.78 = 201,782.55 : x
  2. Step 2: Convert to fraction form
    371,548.44/512,742.78 = 201,782.55/x
  3. Step 3: Cross multiply
    371,548.44x = 512,742.78 × 201,782.55
  4. Step 4: Simplify right side
    371,548.44x = 103,462,545,642.49
  5. Step 5: Solve for x
    x = 103,462,545,642.49/371,548.44
  6. Step 6: Final answer
    x = 278,463.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.