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Finding the Fourth Proportional to 416,655.64, 625,012.89 and 206,237.08

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Solution

The fourth proportional to 416,655.64, 625,012.89 and 206,237.08 is: 309,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,655.64 : 625,012.89 = 206,237.08 : x
  2. Step 2: Convert to fraction form
    416,655.64/625,012.89 = 206,237.08/x
  3. Step 3: Cross multiply
    416,655.64x = 625,012.89 × 206,237.08
  4. Step 4: Simplify right side
    416,655.64x = 128,900,833,395.96
  5. Step 5: Solve for x
    x = 128,900,833,395.96/416,655.64
  6. Step 6: Final answer
    x = 309,370.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.