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Finding the Fourth Proportional to 285,699.10, 428,509 and 200,050.26

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Solution

The fourth proportional to 285,699.10, 428,509 and 200,050.26 is: 300,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,699.10 : 428,509 = 200,050.26 : x
  2. Step 2: Convert to fraction form
    285,699.10/428,509 = 200,050.26/x
  3. Step 3: Cross multiply
    285,699.10x = 428,509 × 200,050.26
  4. Step 4: Simplify right side
    285,699.10x = 85,723,336,862.34
  5. Step 5: Solve for x
    x = 85,723,336,862.34/285,699.10
  6. Step 6: Final answer
    x = 300,047.63

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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.