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Finding the Fourth Proportional to 277,243.86, 415,891.98 and 77,564.28

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Solution

The fourth proportional to 277,243.86, 415,891.98 and 77,564.28 is: 116,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,243.86 : 415,891.98 = 77,564.28 : x
  2. Step 2: Convert to fraction form
    277,243.86/415,891.98 = 77,564.28/x
  3. Step 3: Cross multiply
    277,243.86x = 415,891.98 × 77,564.28
  4. Step 4: Simplify right side
    277,243.86x = 32,258,361,986.47
  5. Step 5: Solve for x
    x = 32,258,361,986.47/277,243.86
  6. Step 6: Final answer
    x = 116,353.75

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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.