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Finding the Fourth Proportional to 339,319.68, 468,282.24 and 188,417.76

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Solution

The fourth proportional to 339,319.68, 468,282.24 and 188,417.76 is: 260,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,319.68 : 468,282.24 = 188,417.76 : x
  2. Step 2: Convert to fraction form
    339,319.68/468,282.24 = 188,417.76/x
  3. Step 3: Cross multiply
    339,319.68x = 468,282.24 × 188,417.76
  4. Step 4: Simplify right side
    339,319.68x = 88,232,690,708.58
  5. Step 5: Solve for x
    x = 88,232,690,708.58/339,319.68
  6. Step 6: Final answer
    x = 260,028.22

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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.