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Finding the Fourth Proportional to 465,782.80, 698,674.20 and 213,062.80

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Solution

The fourth proportional to 465,782.80, 698,674.20 and 213,062.80 is: 319,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,782.80 : 698,674.20 = 213,062.80 : x
  2. Step 2: Convert to fraction form
    465,782.80/698,674.20 = 213,062.80/x
  3. Step 3: Cross multiply
    465,782.80x = 698,674.20 × 213,062.80
  4. Step 4: Simplify right side
    465,782.80x = 148,861,481,339.76
  5. Step 5: Solve for x
    x = 148,861,481,339.76/465,782.80
  6. Step 6: Final answer
    x = 319,594.20

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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.