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Finding the Fourth Proportional to 289,963,808.40, 434,945,712.60 and 278,816,134.80

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Solution

The fourth proportional to 289,963,808.40, 434,945,712.60 and 278,816,134.80 is: 418,224,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,963,808.40 : 434,945,712.60 = 278,816,134.80 : x
  2. Step 2: Convert to fraction form
    289,963,808.40/434,945,712.60 = 278,816,134.80/x
  3. Step 3: Cross multiply
    289,963,808.40x = 434,945,712.60 × 278,816,134.80
  4. Step 4: Simplify right side
    289,963,808.40x = 121,269,882,434,963,664
  5. Step 5: Solve for x
    x = 121,269,882,434,963,664/289,963,808.40
  6. Step 6: Final answer
    x = 418,224,202.20

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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.