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Finding the Fourth Proportional to 275,347.20, 413,020.80 and 213,139.20

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Solution

The fourth proportional to 275,347.20, 413,020.80 and 213,139.20 is: 319,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,347.20 : 413,020.80 = 213,139.20 : x
  2. Step 2: Convert to fraction form
    275,347.20/413,020.80 = 213,139.20/x
  3. Step 3: Cross multiply
    275,347.20x = 413,020.80 × 213,139.20
  4. Step 4: Simplify right side
    275,347.20x = 88,030,922,895.36
  5. Step 5: Solve for x
    x = 88,030,922,895.36/275,347.20
  6. Step 6: Final answer
    x = 319,708.80

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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.