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Finding the Fourth Proportional to 277,929.92, 416,919.48 and 78,252.02

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Solution

The fourth proportional to 277,929.92, 416,919.48 and 78,252.02 is: 117,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,929.92 : 416,919.48 = 78,252.02 : x
  2. Step 2: Convert to fraction form
    277,929.92/416,919.48 = 78,252.02/x
  3. Step 3: Cross multiply
    277,929.92x = 416,919.48 × 78,252.02
  4. Step 4: Simplify right side
    277,929.92x = 32,624,791,487.35
  5. Step 5: Solve for x
    x = 32,624,791,487.35/277,929.92
  6. Step 6: Final answer
    x = 117,384.96

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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.