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Finding the Fourth Proportional to 486,680.68, 729,894.30 and 206,053.48

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Solution

The fourth proportional to 486,680.68, 729,894.30 and 206,053.48 is: 309,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,680.68 : 729,894.30 = 206,053.48 : x
  2. Step 2: Convert to fraction form
    486,680.68/729,894.30 = 206,053.48/x
  3. Step 3: Cross multiply
    486,680.68x = 729,894.30 × 206,053.48
  4. Step 4: Simplify right side
    486,680.68x = 150,397,260,547.16
  5. Step 5: Solve for x
    x = 150,397,260,547.16/486,680.68
  6. Step 6: Final answer
    x = 309,026.57

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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.