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Finding the Fourth Proportional to 277,200.80, 415,827.45 and 77,521.15

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Solution

The fourth proportional to 277,200.80, 415,827.45 and 77,521.15 is: 116,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,200.80 : 415,827.45 = 77,521.15 : x
  2. Step 2: Convert to fraction form
    277,200.80/415,827.45 = 77,521.15/x
  3. Step 3: Cross multiply
    277,200.80x = 415,827.45 × 77,521.15
  4. Step 4: Simplify right side
    277,200.80x = 32,235,422,125.57
  5. Step 5: Solve for x
    x = 32,235,422,125.57/277,200.80
  6. Step 6: Final answer
    x = 116,289.07

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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.