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Finding the Fourth Proportional to 277,251.86, 415,903.98 and 77,572.28

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Solution

The fourth proportional to 277,251.86, 415,903.98 and 77,572.28 is: 116,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,251.86 : 415,903.98 = 77,572.28 : x
  2. Step 2: Convert to fraction form
    277,251.86/415,903.98 = 77,572.28/x
  3. Step 3: Cross multiply
    277,251.86x = 415,903.98 × 77,572.28
  4. Step 4: Simplify right side
    277,251.86x = 32,262,619,989.67
  5. Step 5: Solve for x
    x = 32,262,619,989.67/277,251.86
  6. Step 6: Final answer
    x = 116,365.75

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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.