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Finding the Fourth Proportional to 517,214.85, 776,040.98 and 327,820.65

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Solution

The fourth proportional to 517,214.85, 776,040.98 and 327,820.65 is: 491,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,214.85 : 776,040.98 = 327,820.65 : x
  2. Step 2: Convert to fraction form
    517,214.85/776,040.98 = 327,820.65/x
  3. Step 3: Cross multiply
    517,214.85x = 776,040.98 × 327,820.65
  4. Step 4: Simplify right side
    517,214.85x = 254,402,256,851.13
  5. Step 5: Solve for x
    x = 254,402,256,851.13/517,214.85
  6. Step 6: Final answer
    x = 491,869.59

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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.