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Finding the Fourth Proportional to 277,240.86, 415,887.48 and 77,561.28

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Solution

The fourth proportional to 277,240.86, 415,887.48 and 77,561.28 is: 116,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,240.86 : 415,887.48 = 77,561.28 : x
  2. Step 2: Convert to fraction form
    277,240.86/415,887.48 = 77,561.28/x
  3. Step 3: Cross multiply
    277,240.86x = 415,887.48 × 77,561.28
  4. Step 4: Simplify right side
    277,240.86x = 32,256,765,284.77
  5. Step 5: Solve for x
    x = 32,256,765,284.77/277,240.86
  6. Step 6: Final answer
    x = 116,349.25

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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.