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Finding the Fourth Proportional to 408,050, 563,175.78 and 339,959

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Solution

The fourth proportional to 408,050, 563,175.78 and 339,959 is: 469,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,050 : 563,175.78 = 339,959 : x
  2. Step 2: Convert to fraction form
    408,050/563,175.78 = 339,959/x
  3. Step 3: Cross multiply
    408,050x = 563,175.78 × 339,959
  4. Step 4: Simplify right side
    408,050x = 191,456,674,993.02
  5. Step 5: Solve for x
    x = 191,456,674,993.02/408,050
  6. Step 6: Final answer
    x = 469,199.06

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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.