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Finding the Fourth Proportional to 276,872.40, 415,769.40 and 152,302.80

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Solution

The fourth proportional to 276,872.40, 415,769.40 and 152,302.80 is: 228,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,872.40 : 415,769.40 = 152,302.80 : x
  2. Step 2: Convert to fraction form
    276,872.40/415,769.40 = 152,302.80/x
  3. Step 3: Cross multiply
    276,872.40x = 415,769.40 × 152,302.80
  4. Step 4: Simplify right side
    276,872.40x = 63,322,843,774.32
  5. Step 5: Solve for x
    x = 63,322,843,774.32/276,872.40
  6. Step 6: Final answer
    x = 228,707.68

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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.