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Finding the Fourth Proportional to 289,712.20, 434,568.30 and 280,035.40

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Solution

The fourth proportional to 289,712.20, 434,568.30 and 280,035.40 is: 420,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,712.20 : 434,568.30 = 280,035.40 : x
  2. Step 2: Convert to fraction form
    289,712.20/434,568.30 = 280,035.40/x
  3. Step 3: Cross multiply
    289,712.20x = 434,568.30 × 280,035.40
  4. Step 4: Simplify right side
    289,712.20x = 121,694,507,717.82
  5. Step 5: Solve for x
    x = 121,694,507,717.82/289,712.20
  6. Step 6: Final answer
    x = 420,053.10

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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.