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Finding the Fourth Proportional to 276,840.40, 415,721.40 and 152,270.80

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Solution

The fourth proportional to 276,840.40, 415,721.40 and 152,270.80 is: 228,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,840.40 : 415,721.40 = 152,270.80 : x
  2. Step 2: Convert to fraction form
    276,840.40/415,721.40 = 152,270.80/x
  3. Step 3: Cross multiply
    276,840.40x = 415,721.40 × 152,270.80
  4. Step 4: Simplify right side
    276,840.40x = 63,302,230,155.12
  5. Step 5: Solve for x
    x = 63,302,230,155.12/276,840.40
  6. Step 6: Final answer
    x = 228,659.65

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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.