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Finding the Fourth Proportional to 286,642.94, 429,963.06 and 73,410.44

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Solution

The fourth proportional to 286,642.94, 429,963.06 and 73,410.44 is: 110,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,642.94 : 429,963.06 = 73,410.44 : x
  2. Step 2: Convert to fraction form
    286,642.94/429,963.06 = 73,410.44/x
  3. Step 3: Cross multiply
    286,642.94x = 429,963.06 × 73,410.44
  4. Step 4: Simplify right side
    286,642.94x = 31,563,777,418.35
  5. Step 5: Solve for x
    x = 31,563,777,418.35/286,642.94
  6. Step 6: Final answer
    x = 110,115.31

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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.