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Finding the Fourth Proportional to 806,509.20, 1,209,763.80 and 332,950.80

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Solution

The fourth proportional to 806,509.20, 1,209,763.80 and 332,950.80 is: 499,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,509.20 : 1,209,763.80 = 332,950.80 : x
  2. Step 2: Convert to fraction form
    806,509.20/1,209,763.80 = 332,950.80/x
  3. Step 3: Cross multiply
    806,509.20x = 1,209,763.80 × 332,950.80
  4. Step 4: Simplify right side
    806,509.20x = 402,791,825,021.04
  5. Step 5: Solve for x
    x = 402,791,825,021.04/806,509.20
  6. Step 6: Final answer
    x = 499,426.20

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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.