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Finding the Fourth Proportional to 285,422.20, 428,003.70 and 107,870.20

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Solution

The fourth proportional to 285,422.20, 428,003.70 and 107,870.20 is: 161,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,422.20 : 428,003.70 = 107,870.20 : x
  2. Step 2: Convert to fraction form
    285,422.20/428,003.70 = 107,870.20/x
  3. Step 3: Cross multiply
    285,422.20x = 428,003.70 × 107,870.20
  4. Step 4: Simplify right side
    285,422.20x = 46,168,844,719.74
  5. Step 5: Solve for x
    x = 46,168,844,719.74/285,422.20
  6. Step 6: Final answer
    x = 161,756.32

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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.