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Finding the Fourth Proportional to 200,420.10, 300,630.15 and 187,200.90

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Solution

The fourth proportional to 200,420.10, 300,630.15 and 187,200.90 is: 280,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,420.10 : 300,630.15 = 187,200.90 : x
  2. Step 2: Convert to fraction form
    200,420.10/300,630.15 = 187,200.90/x
  3. Step 3: Cross multiply
    200,420.10x = 300,630.15 × 187,200.90
  4. Step 4: Simplify right side
    200,420.10x = 56,278,234,647.14
  5. Step 5: Solve for x
    x = 56,278,234,647.14/200,420.10
  6. Step 6: Final answer
    x = 280,801.35

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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.