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Finding the Fourth Proportional to 347,638.40, 521,246.40 and 137,033.60

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Solution

The fourth proportional to 347,638.40, 521,246.40 and 137,033.60 is: 205,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,638.40 : 521,246.40 = 137,033.60 : x
  2. Step 2: Convert to fraction form
    347,638.40/521,246.40 = 137,033.60/x
  3. Step 3: Cross multiply
    347,638.40x = 521,246.40 × 137,033.60
  4. Step 4: Simplify right side
    347,638.40x = 71,428,270,679.04
  5. Step 5: Solve for x
    x = 71,428,270,679.04/347,638.40
  6. Step 6: Final answer
    x = 205,467.15

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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.