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Finding the Fourth Proportional to 313,486.83, 432,680.76 and 206,066.88

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Solution

The fourth proportional to 313,486.83, 432,680.76 and 206,066.88 is: 284,417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,486.83 : 432,680.76 = 206,066.88 : x
  2. Step 2: Convert to fraction form
    313,486.83/432,680.76 = 206,066.88/x
  3. Step 3: Cross multiply
    313,486.83x = 432,680.76 × 206,066.88
  4. Step 4: Simplify right side
    313,486.83x = 89,161,174,249.23
  5. Step 5: Solve for x
    x = 89,161,174,249.23/313,486.83
  6. Step 6: Final answer
    x = 284,417.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.