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Finding the Fourth Proportional to 538,400, 742,301.92 and 441,246.20

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Solution

The fourth proportional to 538,400, 742,301.92 and 441,246.20 is: 608,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,400 : 742,301.92 = 441,246.20 : x
  2. Step 2: Convert to fraction form
    538,400/742,301.92 = 441,246.20/x
  3. Step 3: Cross multiply
    538,400x = 742,301.92 × 441,246.20
  4. Step 4: Simplify right side
    538,400x = 327,537,901,452.70
  5. Step 5: Solve for x
    x = 327,537,901,452.70/538,400
  6. Step 6: Final answer
    x = 608,354.20

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1.5x scale

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.