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Finding the Fourth Proportional to 658,809.43, 988,203.76 and 209,523.81

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Solution

The fourth proportional to 658,809.43, 988,203.76 and 209,523.81 is: 314,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,809.43 : 988,203.76 = 209,523.81 : x
  2. Step 2: Convert to fraction form
    658,809.43/988,203.76 = 209,523.81/x
  3. Step 3: Cross multiply
    658,809.43x = 988,203.76 × 209,523.81
  4. Step 4: Simplify right side
    658,809.43x = 207,052,216,851.53
  5. Step 5: Solve for x
    x = 207,052,216,851.53/658,809.43
  6. Step 6: Final answer
    x = 314,282.41

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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.