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Finding the Fourth Proportional to 351,881.31, 527,741.02 and 209,766.71

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Solution

The fourth proportional to 351,881.31, 527,741.02 and 209,766.71 is: 314,601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,881.31 : 527,741.02 = 209,766.71 : x
  2. Step 2: Convert to fraction form
    351,881.31/527,741.02 = 209,766.71/x
  3. Step 3: Cross multiply
    351,881.31x = 527,741.02 × 209,766.71
  4. Step 4: Simplify right side
    351,881.31x = 110,702,499,079.01
  5. Step 5: Solve for x
    x = 110,702,499,079.01/351,881.31
  6. Step 6: Final answer
    x = 314,601.81

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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.