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Finding the Fourth Proportional to 656,401.60, 984,551.20 and 256,964.80

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Solution

The fourth proportional to 656,401.60, 984,551.20 and 256,964.80 is: 385,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,401.60 : 984,551.20 = 256,964.80 : x
  2. Step 2: Convert to fraction form
    656,401.60/984,551.20 = 256,964.80/x
  3. Step 3: Cross multiply
    656,401.60x = 984,551.20 × 256,964.80
  4. Step 4: Simplify right side
    656,401.60x = 252,995,002,197.76
  5. Step 5: Solve for x
    x = 252,995,002,197.76/656,401.60
  6. Step 6: Final answer
    x = 385,427.16

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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.