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Finding the Fourth Proportional to 357,475.78, 493,360.37 and 206,572.78

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Solution

The fourth proportional to 357,475.78, 493,360.37 and 206,572.78 is: 285,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,475.78 : 493,360.37 = 206,572.78 : x
  2. Step 2: Convert to fraction form
    357,475.78/493,360.37 = 206,572.78/x
  3. Step 3: Cross multiply
    357,475.78x = 493,360.37 × 206,572.78
  4. Step 4: Simplify right side
    357,475.78x = 101,914,823,531.21
  5. Step 5: Solve for x
    x = 101,914,823,531.21/357,475.78
  6. Step 6: Final answer
    x = 285,095.74

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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.