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Finding the Fourth Proportional to 659,438.33, 989,138.96 and 210,186.10

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Solution

The fourth proportional to 659,438.33, 989,138.96 and 210,186.10 is: 315,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,438.33 : 989,138.96 = 210,186.10 : x
  2. Step 2: Convert to fraction form
    659,438.33/989,138.96 = 210,186.10/x
  3. Step 3: Cross multiply
    659,438.33x = 989,138.96 × 210,186.10
  4. Step 4: Simplify right side
    659,438.33x = 207,903,261,334.15
  5. Step 5: Solve for x
    x = 207,903,261,334.15/659,438.33
  6. Step 6: Final answer
    x = 315,273.25

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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.