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Finding the Fourth Proportional to 277,835.64, 416,755.53 and 78,176.22

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Solution

The fourth proportional to 277,835.64, 416,755.53 and 78,176.22 is: 117,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,835.64 : 416,755.53 = 78,176.22 : x
  2. Step 2: Convert to fraction form
    277,835.64/416,755.53 = 78,176.22/x
  3. Step 3: Cross multiply
    277,835.64x = 416,755.53 × 78,176.22
  4. Step 4: Simplify right side
    277,835.64x = 32,580,371,999.50
  5. Step 5: Solve for x
    x = 32,580,371,999.50/277,835.64
  6. Step 6: Final answer
    x = 117,264.91

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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.