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Finding the Fourth Proportional to 289,574.20, 434,490.90 and 131,721.40

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Solution

The fourth proportional to 289,574.20, 434,490.90 and 131,721.40 is: 197,641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,574.20 : 434,490.90 = 131,721.40 : x
  2. Step 2: Convert to fraction form
    289,574.20/434,490.90 = 131,721.40/x
  3. Step 3: Cross multiply
    289,574.20x = 434,490.90 × 131,721.40
  4. Step 4: Simplify right side
    289,574.20x = 57,231,749,635.26
  5. Step 5: Solve for x
    x = 57,231,749,635.26/289,574.20
  6. Step 6: Final answer
    x = 197,641.05

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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.