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Finding the Fourth Proportional to 656,209.80, 984,314.70 and 418,847.40

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Solution

The fourth proportional to 656,209.80, 984,314.70 and 418,847.40 is: 628,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,209.80 : 984,314.70 = 418,847.40 : x
  2. Step 2: Convert to fraction form
    656,209.80/984,314.70 = 418,847.40/x
  3. Step 3: Cross multiply
    656,209.80x = 984,314.70 × 418,847.40
  4. Step 4: Simplify right side
    656,209.80x = 412,277,652,876.78
  5. Step 5: Solve for x
    x = 412,277,652,876.78/656,209.80
  6. Step 6: Final answer
    x = 628,271.10

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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.