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Finding the Fourth Proportional to 285,782.36, 428,769.54 and 200,482.10

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Solution

The fourth proportional to 285,782.36, 428,769.54 and 200,482.10 is: 300,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,782.36 : 428,769.54 = 200,482.10 : x
  2. Step 2: Convert to fraction form
    285,782.36/428,769.54 = 200,482.10/x
  3. Step 3: Cross multiply
    285,782.36x = 428,769.54 × 200,482.10
  4. Step 4: Simplify right side
    285,782.36x = 85,960,617,795.23
  5. Step 5: Solve for x
    x = 85,960,617,795.23/285,782.36
  6. Step 6: Final answer
    x = 300,790.50

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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.