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Finding the Fourth Proportional to 208,104.20, 312,233.10 and 200,424.20

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Solution

The fourth proportional to 208,104.20, 312,233.10 and 200,424.20 is: 300,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,104.20 : 312,233.10 = 200,424.20 : x
  2. Step 2: Convert to fraction form
    208,104.20/312,233.10 = 200,424.20/x
  3. Step 3: Cross multiply
    208,104.20x = 312,233.10 × 200,424.20
  4. Step 4: Simplify right side
    208,104.20x = 62,579,069,281.02
  5. Step 5: Solve for x
    x = 62,579,069,281.02/208,104.20
  6. Step 6: Final answer
    x = 300,710.27

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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.