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Finding the Fourth Proportional to 517,290.68, 776,125.56 and 217,846.64

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Solution

The fourth proportional to 517,290.68, 776,125.56 and 217,846.64 is: 326,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,290.68 : 776,125.56 = 217,846.64 : x
  2. Step 2: Convert to fraction form
    517,290.68/776,125.56 = 217,846.64/x
  3. Step 3: Cross multiply
    517,290.68x = 776,125.56 × 217,846.64
  4. Step 4: Simplify right side
    517,290.68x = 169,076,345,464.12
  5. Step 5: Solve for x
    x = 169,076,345,464.12/517,290.68
  6. Step 6: Final answer
    x = 326,849.78

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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.