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Finding the Fourth Proportional to 291,787.78, 437,878.37 and 102,249.85

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Solution

The fourth proportional to 291,787.78, 437,878.37 and 102,249.85 is: 153,443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,787.78 : 437,878.37 = 102,249.85 : x
  2. Step 2: Convert to fraction form
    291,787.78/437,878.37 = 102,249.85/x
  3. Step 3: Cross multiply
    291,787.78x = 437,878.37 × 102,249.85
  4. Step 4: Simplify right side
    291,787.78x = 44,772,997,650.74
  5. Step 5: Solve for x
    x = 44,772,997,650.74/291,787.78
  6. Step 6: Final answer
    x = 153,443.70

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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.