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Finding the Fourth Proportional to 547,286,295.60, 819,784,816.20 and 256,401,687.60

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Solution

The fourth proportional to 547,286,295.60, 819,784,816.20 and 256,401,687.60 is: 384,066,277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,286,295.60 : 819,784,816.20 = 256,401,687.60 : x
  2. Step 2: Convert to fraction form
    547,286,295.60/819,784,816.20 = 256,401,687.60/x
  3. Step 3: Cross multiply
    547,286,295.60x = 819,784,816.20 × 256,401,687.60
  4. Step 4: Simplify right side
    547,286,295.60x = 210,194,210,342,535,840
  5. Step 5: Solve for x
    x = 210,194,210,342,535,840/547,286,295.60
  6. Step 6: Final answer
    x = 384,066,277.62

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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.