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Finding the Fourth Proportional to 285,434.20, 428,021.70 and 107,882.20

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Solution

The fourth proportional to 285,434.20, 428,021.70 and 107,882.20 is: 161,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,434.20 : 428,021.70 = 107,882.20 : x
  2. Step 2: Convert to fraction form
    285,434.20/428,021.70 = 107,882.20/x
  3. Step 3: Cross multiply
    285,434.20x = 428,021.70 × 107,882.20
  4. Step 4: Simplify right side
    285,434.20x = 46,175,922,643.74
  5. Step 5: Solve for x
    x = 46,175,922,643.74/285,434.20
  6. Step 6: Final answer
    x = 161,774.32

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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.