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Finding the Fourth Proportional to 649,674.17, 974,067.78 and 346,113.71

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Solution

The fourth proportional to 649,674.17, 974,067.78 and 346,113.71 is: 518,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,674.17 : 974,067.78 = 346,113.71 : x
  2. Step 2: Convert to fraction form
    649,674.17/974,067.78 = 346,113.71/x
  3. Step 3: Cross multiply
    649,674.17x = 974,067.78 × 346,113.71
  4. Step 4: Simplify right side
    649,674.17x = 337,138,213,127.26
  5. Step 5: Solve for x
    x = 337,138,213,127.26/649,674.17
  6. Step 6: Final answer
    x = 518,934.30

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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.