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Finding the Fourth Proportional to 276,943.67, 415,485.56 and 77,263.91

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Solution

The fourth proportional to 276,943.67, 415,485.56 and 77,263.91 is: 115,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,943.67 : 415,485.56 = 77,263.91 : x
  2. Step 2: Convert to fraction form
    276,943.67/415,485.56 = 77,263.91/x
  3. Step 3: Cross multiply
    276,943.67x = 415,485.56 × 77,263.91
  4. Step 4: Simplify right side
    276,943.67x = 32,102,038,587.94
  5. Step 5: Solve for x
    x = 32,102,038,587.94/276,943.67
  6. Step 6: Final answer
    x = 115,915.41

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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.