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Finding the Fourth Proportional to 289,793.86, 434,606.55 and 112,261.30

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Solution

The fourth proportional to 289,793.86, 434,606.55 and 112,261.30 is: 168,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,793.86 : 434,606.55 = 112,261.30 : x
  2. Step 2: Convert to fraction form
    289,793.86/434,606.55 = 112,261.30/x
  3. Step 3: Cross multiply
    289,793.86x = 434,606.55 × 112,261.30
  4. Step 4: Simplify right side
    289,793.86x = 48,789,496,291.52
  5. Step 5: Solve for x
    x = 48,789,496,291.52/289,793.86
  6. Step 6: Final answer
    x = 168,359.32

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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.