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Finding the Fourth Proportional to 285,632.25, 428,705.34 and 152,626.20

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Solution

The fourth proportional to 285,632.25, 428,705.34 and 152,626.20 is: 229,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,632.25 : 428,705.34 = 152,626.20 : x
  2. Step 2: Convert to fraction form
    285,632.25/428,705.34 = 152,626.20/x
  3. Step 3: Cross multiply
    285,632.25x = 428,705.34 × 152,626.20
  4. Step 4: Simplify right side
    285,632.25x = 65,431,666,963.91
  5. Step 5: Solve for x
    x = 65,431,666,963.91/285,632.25
  6. Step 6: Final answer
    x = 229,076.61

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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.