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Finding the Fourth Proportional to 276,955.86, 415,503.84 and 77,276.16

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Solution

The fourth proportional to 276,955.86, 415,503.84 and 77,276.16 is: 115,933.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,955.86 : 415,503.84 = 77,276.16 : x
  2. Step 2: Convert to fraction form
    276,955.86/415,503.84 = 77,276.16/x
  3. Step 3: Cross multiply
    276,955.86x = 415,503.84 × 77,276.16
  4. Step 4: Simplify right side
    276,955.86x = 32,108,541,220.45
  5. Step 5: Solve for x
    x = 32,108,541,220.45/276,955.86
  6. Step 6: Final answer
    x = 115,933.79

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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.