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Finding the Fourth Proportional to 277,137.60, 415,707.36 and 77,456.72

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Solution

The fourth proportional to 277,137.60, 415,707.36 and 77,456.72 is: 116,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,137.60 : 415,707.36 = 77,456.72 : x
  2. Step 2: Convert to fraction form
    277,137.60/415,707.36 = 77,456.72/x
  3. Step 3: Cross multiply
    277,137.60x = 415,707.36 × 77,456.72
  4. Step 4: Simplify right side
    277,137.60x = 32,199,328,585.46
  5. Step 5: Solve for x
    x = 32,199,328,585.46/277,137.60
  6. Step 6: Final answer
    x = 116,185.35

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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.