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Finding the Fourth Proportional to 288,988.20, 432,899.10 and 200,341.80

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Solution

The fourth proportional to 288,988.20, 432,899.10 and 200,341.80 is: 300,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,988.20 : 432,899.10 = 200,341.80 : x
  2. Step 2: Convert to fraction form
    288,988.20/432,899.10 = 200,341.80/x
  3. Step 3: Cross multiply
    288,988.20x = 432,899.10 × 200,341.80
  4. Step 4: Simplify right side
    288,988.20x = 86,727,784,912.38
  5. Step 5: Solve for x
    x = 86,727,784,912.38/288,988.20
  6. Step 6: Final answer
    x = 300,108.40

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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.