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Finding the Fourth Proportional to 259,221, 388,984.59 and 109,451.60

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Solution

The fourth proportional to 259,221, 388,984.59 and 109,451.60 is: 164,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,221 : 388,984.59 = 109,451.60 : x
  2. Step 2: Convert to fraction form
    259,221/388,984.59 = 109,451.60/x
  3. Step 3: Cross multiply
    259,221x = 388,984.59 × 109,451.60
  4. Step 4: Simplify right side
    259,221x = 42,574,983,805.92
  5. Step 5: Solve for x
    x = 42,574,983,805.92/259,221
  6. Step 6: Final answer
    x = 164,242.03

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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.