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Finding the Fourth Proportional to 638,739.12, 958,196.16 and 217,902

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Solution

The fourth proportional to 638,739.12, 958,196.16 and 217,902 is: 326,882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,739.12 : 958,196.16 = 217,902 : x
  2. Step 2: Convert to fraction form
    638,739.12/958,196.16 = 217,902/x
  3. Step 3: Cross multiply
    638,739.12x = 958,196.16 × 217,902
  4. Step 4: Simplify right side
    638,739.12x = 208,792,859,656.32
  5. Step 5: Solve for x
    x = 208,792,859,656.32/638,739.12
  6. Step 6: Final answer
    x = 326,882.84

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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.