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Finding the Fourth Proportional to 465,854.85, 642,864.80 and 261,914.40

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Solution

The fourth proportional to 465,854.85, 642,864.80 and 261,914.40 is: 361,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,854.85 : 642,864.80 = 261,914.40 : x
  2. Step 2: Convert to fraction form
    465,854.85/642,864.80 = 261,914.40/x
  3. Step 3: Cross multiply
    465,854.85x = 642,864.80 × 261,914.40
  4. Step 4: Simplify right side
    465,854.85x = 168,375,549,027.91
  5. Step 5: Solve for x
    x = 168,375,549,027.91/465,854.85
  6. Step 6: Final answer
    x = 361,433.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.