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Finding the Fourth Proportional to 273,887.80, 410,831.70 and 76,870.20

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Solution

The fourth proportional to 273,887.80, 410,831.70 and 76,870.20 is: 115,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,887.80 : 410,831.70 = 76,870.20 : x
  2. Step 2: Convert to fraction form
    273,887.80/410,831.70 = 76,870.20/x
  3. Step 3: Cross multiply
    273,887.80x = 410,831.70 × 76,870.20
  4. Step 4: Simplify right side
    273,887.80x = 31,580,714,945.34
  5. Step 5: Solve for x
    x = 31,580,714,945.34/273,887.80
  6. Step 6: Final answer
    x = 115,305.30

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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.