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Finding the Fourth Proportional to 276,846.40, 415,730.40 and 152,276.80

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Solution

The fourth proportional to 276,846.40, 415,730.40 and 152,276.80 is: 228,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,846.40 : 415,730.40 = 152,276.80 : x
  2. Step 2: Convert to fraction form
    276,846.40/415,730.40 = 152,276.80/x
  3. Step 3: Cross multiply
    276,846.40x = 415,730.40 × 152,276.80
  4. Step 4: Simplify right side
    276,846.40x = 63,306,094,974.72
  5. Step 5: Solve for x
    x = 63,306,094,974.72/276,846.40
  6. Step 6: Final answer
    x = 228,668.66

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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.