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Finding the Fourth Proportional to 257,193.01, 355,019.52 and 209,363.32

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Solution

The fourth proportional to 257,193.01, 355,019.52 and 209,363.32 is: 288,997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,193.01 : 355,019.52 = 209,363.32 : x
  2. Step 2: Convert to fraction form
    257,193.01/355,019.52 = 209,363.32/x
  3. Step 3: Cross multiply
    257,193.01x = 355,019.52 × 209,363.32
  4. Step 4: Simplify right side
    257,193.01x = 74,328,065,372.01
  5. Step 5: Solve for x
    x = 74,328,065,372.01/257,193.01
  6. Step 6: Final answer
    x = 288,997.22

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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.