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Finding the Fourth Proportional to 288,956.70, 432,851.85 and 200,310.30

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Solution

The fourth proportional to 288,956.70, 432,851.85 and 200,310.30 is: 300,061.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,956.70 : 432,851.85 = 200,310.30 : x
  2. Step 2: Convert to fraction form
    288,956.70/432,851.85 = 200,310.30/x
  3. Step 3: Cross multiply
    288,956.70x = 432,851.85 × 200,310.30
  4. Step 4: Simplify right side
    288,956.70x = 86,704,683,929.06
  5. Step 5: Solve for x
    x = 86,704,683,929.06/288,956.70
  6. Step 6: Final answer
    x = 300,061.16

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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.