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Finding the Fourth Proportional to 442,394.48, 663,589.64 and 138,810.86

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Solution

The fourth proportional to 442,394.48, 663,589.64 and 138,810.86 is: 208,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,394.48 : 663,589.64 = 138,810.86 : x
  2. Step 2: Convert to fraction form
    442,394.48/663,589.64 = 138,810.86/x
  3. Step 3: Cross multiply
    442,394.48x = 663,589.64 × 138,810.86
  4. Step 4: Simplify right side
    442,394.48x = 92,113,448,615.49
  5. Step 5: Solve for x
    x = 92,113,448,615.49/442,394.48
  6. Step 6: Final answer
    x = 208,215.64

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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.