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Finding the Fourth Proportional to 806,428.80, 1,209,643.20 and 413,212.80

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Solution

The fourth proportional to 806,428.80, 1,209,643.20 and 413,212.80 is: 619,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,428.80 : 1,209,643.20 = 413,212.80 : x
  2. Step 2: Convert to fraction form
    806,428.80/1,209,643.20 = 413,212.80/x
  3. Step 3: Cross multiply
    806,428.80x = 1,209,643.20 × 413,212.80
  4. Step 4: Simplify right side
    806,428.80x = 499,840,053,672.96
  5. Step 5: Solve for x
    x = 499,840,053,672.96/806,428.80
  6. Step 6: Final answer
    x = 619,819.20

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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.