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Finding the Fourth Proportional to 512,583.20, 768,874.80 and 212,964.20

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Solution

The fourth proportional to 512,583.20, 768,874.80 and 212,964.20 is: 319,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,583.20 : 768,874.80 = 212,964.20 : x
  2. Step 2: Convert to fraction form
    512,583.20/768,874.80 = 212,964.20/x
  3. Step 3: Cross multiply
    512,583.20x = 768,874.80 × 212,964.20
  4. Step 4: Simplify right side
    512,583.20x = 163,742,806,682.16
  5. Step 5: Solve for x
    x = 163,742,806,682.16/512,583.20
  6. Step 6: Final answer
    x = 319,446.30

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Double scale
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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.