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Finding the Fourth Proportional to 314,936.34, 472,404.88 and 78,279.02

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Solution

The fourth proportional to 314,936.34, 472,404.88 and 78,279.02 is: 117,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,936.34 : 472,404.88 = 78,279.02 : x
  2. Step 2: Convert to fraction form
    314,936.34/472,404.88 = 78,279.02/x
  3. Step 3: Cross multiply
    314,936.34x = 472,404.88 × 78,279.02
  4. Step 4: Simplify right side
    314,936.34x = 36,979,393,434.40
  5. Step 5: Solve for x
    x = 36,979,393,434.40/314,936.34
  6. Step 6: Final answer
    x = 117,418.63

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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.