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Finding the Fourth Proportional to 656,145.20, 984,217.80 and 212,913.20

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Solution

The fourth proportional to 656,145.20, 984,217.80 and 212,913.20 is: 319,369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,145.20 : 984,217.80 = 212,913.20 : x
  2. Step 2: Convert to fraction form
    656,145.20/984,217.80 = 212,913.20/x
  3. Step 3: Cross multiply
    656,145.20x = 984,217.80 × 212,913.20
  4. Step 4: Simplify right side
    656,145.20x = 209,552,961,294.96
  5. Step 5: Solve for x
    x = 209,552,961,294.96/656,145.20
  6. Step 6: Final answer
    x = 319,369.80

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Double scale
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Similar ratio
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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.