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Finding the Fourth Proportional to 205,447.40, 308,171.10 and 105,468.20

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Solution

The fourth proportional to 205,447.40, 308,171.10 and 105,468.20 is: 158,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,447.40 : 308,171.10 = 105,468.20 : x
  2. Step 2: Convert to fraction form
    205,447.40/308,171.10 = 105,468.20/x
  3. Step 3: Cross multiply
    205,447.40x = 308,171.10 × 105,468.20
  4. Step 4: Simplify right side
    205,447.40x = 32,502,251,209.02
  5. Step 5: Solve for x
    x = 32,502,251,209.02/205,447.40
  6. Step 6: Final answer
    x = 158,202.30

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1.5x scale

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.