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Finding the Fourth Proportional to 806,429.20, 1,209,643.80 and 332,870.80

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Solution

The fourth proportional to 806,429.20, 1,209,643.80 and 332,870.80 is: 499,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,429.20 : 1,209,643.80 = 332,870.80 : x
  2. Step 2: Convert to fraction form
    806,429.20/1,209,643.80 = 332,870.80/x
  3. Step 3: Cross multiply
    806,429.20x = 1,209,643.80 × 332,870.80
  4. Step 4: Simplify right side
    806,429.20x = 402,655,099,421.04
  5. Step 5: Solve for x
    x = 402,655,099,421.04/806,429.20
  6. Step 6: Final answer
    x = 499,306.20

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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.