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Finding the Fourth Proportional to 289,989.40, 434,984.10 and 278,325.40

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Solution

The fourth proportional to 289,989.40, 434,984.10 and 278,325.40 is: 417,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,989.40 : 434,984.10 = 278,325.40 : x
  2. Step 2: Convert to fraction form
    289,989.40/434,984.10 = 278,325.40/x
  3. Step 3: Cross multiply
    289,989.40x = 434,984.10 × 278,325.40
  4. Step 4: Simplify right side
    289,989.40x = 121,067,123,626.14
  5. Step 5: Solve for x
    x = 121,067,123,626.14/289,989.40
  6. Step 6: Final answer
    x = 417,488.10

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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.