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Finding the Fourth Proportional to 491,806.80, 738,401.40 and 386,744.40

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Solution

The fourth proportional to 491,806.80, 738,401.40 and 386,744.40 is: 580,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,806.80 : 738,401.40 = 386,744.40 : x
  2. Step 2: Convert to fraction form
    491,806.80/738,401.40 = 386,744.40/x
  3. Step 3: Cross multiply
    491,806.80x = 738,401.40 × 386,744.40
  4. Step 4: Simplify right side
    491,806.80x = 285,572,606,402.16
  5. Step 5: Solve for x
    x = 285,572,606,402.16/491,806.80
  6. Step 6: Final answer
    x = 580,660.14

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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.