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Finding the Fourth Proportional to 277,985.18, 417,003.72 and 78,305.24

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Solution

The fourth proportional to 277,985.18, 417,003.72 and 78,305.24 is: 117,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,985.18 : 417,003.72 = 78,305.24 : x
  2. Step 2: Convert to fraction form
    277,985.18/417,003.72 = 78,305.24/x
  3. Step 3: Cross multiply
    277,985.18x = 417,003.72 × 78,305.24
  4. Step 4: Simplify right side
    277,985.18x = 32,653,576,375.49
  5. Step 5: Solve for x
    x = 32,653,576,375.49/277,985.18
  6. Step 6: Final answer
    x = 117,465.17

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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.