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Finding the Fourth Proportional to 413,315.60, 619,390.20 and 202,488.80

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Solution

The fourth proportional to 413,315.60, 619,390.20 and 202,488.80 is: 303,447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,315.60 : 619,390.20 = 202,488.80 : x
  2. Step 2: Convert to fraction form
    413,315.60/619,390.20 = 202,488.80/x
  3. Step 3: Cross multiply
    413,315.60x = 619,390.20 × 202,488.80
  4. Step 4: Simplify right side
    413,315.60x = 125,419,578,329.76
  5. Step 5: Solve for x
    x = 125,419,578,329.76/413,315.60
  6. Step 6: Final answer
    x = 303,447.48

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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.