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Finding the Fourth Proportional to 517,464.72, 714,115.19 and 284,898.74

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Solution

The fourth proportional to 517,464.72, 714,115.19 and 284,898.74 is: 393,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,464.72 : 714,115.19 = 284,898.74 : x
  2. Step 2: Convert to fraction form
    517,464.72/714,115.19 = 284,898.74/x
  3. Step 3: Cross multiply
    517,464.72x = 714,115.19 × 284,898.74
  4. Step 4: Simplify right side
    517,464.72x = 203,450,518,049.28
  5. Step 5: Solve for x
    x = 203,450,518,049.28/517,464.72
  6. Step 6: Final answer
    x = 393,167.90

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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.