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Finding the Fourth Proportional to 277,790.56, 416,715.12 and 90,801.76

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Solution

The fourth proportional to 277,790.56, 416,715.12 and 90,801.76 is: 136,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,790.56 : 416,715.12 = 90,801.76 : x
  2. Step 2: Convert to fraction form
    277,790.56/416,715.12 = 90,801.76/x
  3. Step 3: Cross multiply
    277,790.56x = 416,715.12 × 90,801.76
  4. Step 4: Simplify right side
    277,790.56x = 37,838,466,314.61
  5. Step 5: Solve for x
    x = 37,838,466,314.61/277,790.56
  6. Step 6: Final answer
    x = 136,212.21

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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.