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Finding the Fourth Proportional to 289,369.64, 434,721.45 and 277,412.42

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Solution

The fourth proportional to 289,369.64, 434,721.45 and 277,412.42 is: 416,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,369.64 : 434,721.45 = 277,412.42 : x
  2. Step 2: Convert to fraction form
    289,369.64/434,721.45 = 277,412.42/x
  3. Step 3: Cross multiply
    289,369.64x = 434,721.45 × 277,412.42
  4. Step 4: Simplify right side
    289,369.64x = 120,597,129,470.41
  5. Step 5: Solve for x
    x = 120,597,129,470.41/289,369.64
  6. Step 6: Final answer
    x = 416,758.06

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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.