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Finding the Fourth Proportional to 277,143.80, 415,715.70 and 99,656.60

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Solution

The fourth proportional to 277,143.80, 415,715.70 and 99,656.60 is: 149,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,143.80 : 415,715.70 = 99,656.60 : x
  2. Step 2: Convert to fraction form
    277,143.80/415,715.70 = 99,656.60/x
  3. Step 3: Cross multiply
    277,143.80x = 415,715.70 × 99,656.60
  4. Step 4: Simplify right side
    277,143.80x = 41,428,813,228.62
  5. Step 5: Solve for x
    x = 41,428,813,228.62/277,143.80
  6. Step 6: Final answer
    x = 149,484.90

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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.