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Finding the Fourth Proportional to 349,078.80, 523,877.40 and 138,867.60

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Solution

The fourth proportional to 349,078.80, 523,877.40 and 138,867.60 is: 208,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,078.80 : 523,877.40 = 138,867.60 : x
  2. Step 2: Convert to fraction form
    349,078.80/523,877.40 = 138,867.60/x
  3. Step 3: Cross multiply
    349,078.80x = 523,877.40 × 138,867.60
  4. Step 4: Simplify right side
    349,078.80x = 72,749,597,232.24
  5. Step 5: Solve for x
    x = 72,749,597,232.24/349,078.80
  6. Step 6: Final answer
    x = 208,404.51

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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.