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Finding the Fourth Proportional to 221,138.40, 309,904.80 and 221,138.40

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Solution

The fourth proportional to 221,138.40, 309,904.80 and 221,138.40 is: 309,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,138.40 : 309,904.80 = 221,138.40 : x
  2. Step 2: Convert to fraction form
    221,138.40/309,904.80 = 221,138.40/x
  3. Step 3: Cross multiply
    221,138.40x = 309,904.80 × 221,138.40
  4. Step 4: Simplify right side
    221,138.40x = 68,531,851,624.32
  5. Step 5: Solve for x
    x = 68,531,851,624.32/221,138.40
  6. Step 6: Final answer
    x = 309,904.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.