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Finding the Fourth Proportional to 384,739.96, 577,138.95 and 114,846.78

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Solution

The fourth proportional to 384,739.96, 577,138.95 and 114,846.78 is: 172,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,739.96 : 577,138.95 = 114,846.78 : x
  2. Step 2: Convert to fraction form
    384,739.96/577,138.95 = 114,846.78/x
  3. Step 3: Cross multiply
    384,739.96x = 577,138.95 × 114,846.78
  4. Step 4: Simplify right side
    384,739.96x = 66,282,549,732.96
  5. Step 5: Solve for x
    x = 66,282,549,732.96/384,739.96
  6. Step 6: Final answer
    x = 172,278.83

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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.