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Finding the Fourth Proportional to 659,234, 988,801.32 and 209,936.72

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Solution

The fourth proportional to 659,234, 988,801.32 and 209,936.72 is: 314,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,234 : 988,801.32 = 209,936.72 : x
  2. Step 2: Convert to fraction form
    659,234/988,801.32 = 209,936.72/x
  3. Step 3: Cross multiply
    659,234x = 988,801.32 × 209,936.72
  4. Step 4: Simplify right side
    659,234x = 207,585,705,852.47
  5. Step 5: Solve for x
    x = 207,585,705,852.47/659,234
  6. Step 6: Final answer
    x = 314,889.26

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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.