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Finding the Fourth Proportional to 438,704.49, 657,973.71 and 213,839.04

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Solution

The fourth proportional to 438,704.49, 657,973.71 and 213,839.04 is: 320,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,704.49 : 657,973.71 = 213,839.04 : x
  2. Step 2: Convert to fraction form
    438,704.49/657,973.71 = 213,839.04/x
  3. Step 3: Cross multiply
    438,704.49x = 657,973.71 × 213,839.04
  4. Step 4: Simplify right side
    438,704.49x = 140,700,466,491.64
  5. Step 5: Solve for x
    x = 140,700,466,491.64/438,704.49
  6. Step 6: Final answer
    x = 320,718.09

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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.