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Finding the Fourth Proportional to 205,346.40, 308,192.40 and 100,255.20

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Solution

The fourth proportional to 205,346.40, 308,192.40 and 100,255.20 is: 150,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,346.40 : 308,192.40 = 100,255.20 : x
  2. Step 2: Convert to fraction form
    205,346.40/308,192.40 = 100,255.20/x
  3. Step 3: Cross multiply
    205,346.40x = 308,192.40 × 100,255.20
  4. Step 4: Simplify right side
    205,346.40x = 30,897,890,700.48
  5. Step 5: Solve for x
    x = 30,897,890,700.48/205,346.40
  6. Step 6: Final answer
    x = 150,467.17

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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.