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Finding the Fourth Proportional to 276,857.40, 415,746.90 and 152,287.80

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Solution

The fourth proportional to 276,857.40, 415,746.90 and 152,287.80 is: 228,685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,857.40 : 415,746.90 = 152,287.80 : x
  2. Step 2: Convert to fraction form
    276,857.40/415,746.90 = 152,287.80/x
  3. Step 3: Cross multiply
    276,857.40x = 415,746.90 × 152,287.80
  4. Step 4: Simplify right side
    276,857.40x = 63,313,180,757.82
  5. Step 5: Solve for x
    x = 63,313,180,757.82/276,857.40
  6. Step 6: Final answer
    x = 228,685.17

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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.