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Finding the Fourth Proportional to 285,905.20, 428,857.80 and 128,441.20

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Solution

The fourth proportional to 285,905.20, 428,857.80 and 128,441.20 is: 192,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,905.20 : 428,857.80 = 128,441.20 : x
  2. Step 2: Convert to fraction form
    285,905.20/428,857.80 = 128,441.20/x
  3. Step 3: Cross multiply
    285,905.20x = 428,857.80 × 128,441.20
  4. Step 4: Simplify right side
    285,905.20x = 55,083,010,461.36
  5. Step 5: Solve for x
    x = 55,083,010,461.36/285,905.20
  6. Step 6: Final answer
    x = 192,661.80

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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.