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Finding the Fourth Proportional to 276,810.86, 415,216.29 and 66,448.80

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Solution

The fourth proportional to 276,810.86, 415,216.29 and 66,448.80 is: 99,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,810.86 : 415,216.29 = 66,448.80 : x
  2. Step 2: Convert to fraction form
    276,810.86/415,216.29 = 66,448.80/x
  3. Step 3: Cross multiply
    276,810.86x = 415,216.29 × 66,448.80
  4. Step 4: Simplify right side
    276,810.86x = 27,590,624,210.95
  5. Step 5: Solve for x
    x = 27,590,624,210.95/276,810.86
  6. Step 6: Final answer
    x = 99,673.20

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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.