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Finding the Fourth Proportional to 277,296.27, 415,944.54 and 77,646.12

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Solution

The fourth proportional to 277,296.27, 415,944.54 and 77,646.12 is: 116,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,296.27 : 415,944.54 = 77,646.12 : x
  2. Step 2: Convert to fraction form
    277,296.27/415,944.54 = 77,646.12/x
  3. Step 3: Cross multiply
    277,296.27x = 415,944.54 × 77,646.12
  4. Step 4: Simplify right side
    277,296.27x = 32,296,479,666.18
  5. Step 5: Solve for x
    x = 32,296,479,666.18/277,296.27
  6. Step 6: Final answer
    x = 116,469.22

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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.