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Finding the Fourth Proportional to 517,229.85, 713,714.49 and 287,732.89

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Solution

The fourth proportional to 517,229.85, 713,714.49 and 287,732.89 is: 397,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,229.85 : 713,714.49 = 287,732.89 : x
  2. Step 2: Convert to fraction form
    517,229.85/713,714.49 = 287,732.89/x
  3. Step 3: Cross multiply
    517,229.85x = 713,714.49 × 287,732.89
  4. Step 4: Simplify right side
    517,229.85x = 205,359,133,734.72
  5. Step 5: Solve for x
    x = 205,359,133,734.72/517,229.85
  6. Step 6: Final answer
    x = 397,036.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.