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Finding the Fourth Proportional to 517,586.42, 776,504.21 and 218,152.64

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Solution

The fourth proportional to 517,586.42, 776,504.21 and 218,152.64 is: 327,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,586.42 : 776,504.21 = 218,152.64 : x
  2. Step 2: Convert to fraction form
    517,586.42/776,504.21 = 218,152.64/x
  3. Step 3: Cross multiply
    517,586.42x = 776,504.21 × 218,152.64
  4. Step 4: Simplify right side
    517,586.42x = 169,396,444,233.11
  5. Step 5: Solve for x
    x = 169,396,444,233.11/517,586.42
  6. Step 6: Final answer
    x = 327,281.47

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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.