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Finding the Fourth Proportional to 357,489.72, 493,341.75 and 196,359.66

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Solution

The fourth proportional to 357,489.72, 493,341.75 and 196,359.66 is: 270,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,489.72 : 493,341.75 = 196,359.66 : x
  2. Step 2: Convert to fraction form
    357,489.72/493,341.75 = 196,359.66/x
  3. Step 3: Cross multiply
    357,489.72x = 493,341.75 × 196,359.66
  4. Step 4: Simplify right side
    357,489.72x = 96,872,418,293.81
  5. Step 5: Solve for x
    x = 96,872,418,293.81/357,489.72
  6. Step 6: Final answer
    x = 270,979.59

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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.