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Finding the Fourth Proportional to 200,486.21, 300,729.20 and 187,200.20

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Solution

The fourth proportional to 200,486.21, 300,729.20 and 187,200.20 is: 280,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,486.21 : 300,729.20 = 187,200.20 : x
  2. Step 2: Convert to fraction form
    200,486.21/300,729.20 = 187,200.20/x
  3. Step 3: Cross multiply
    200,486.21x = 300,729.20 × 187,200.20
  4. Step 4: Simplify right side
    200,486.21x = 56,296,563,946.19
  5. Step 5: Solve for x
    x = 56,296,563,946.19/200,486.21
  6. Step 6: Final answer
    x = 280,800.19

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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.