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Finding the Fourth Proportional to 517,743.80, 714,212.40 and 356,318.60

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Solution

The fourth proportional to 517,743.80, 714,212.40 and 356,318.60 is: 491,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,743.80 : 714,212.40 = 356,318.60 : x
  2. Step 2: Convert to fraction form
    517,743.80/714,212.40 = 356,318.60/x
  3. Step 3: Cross multiply
    517,743.80x = 714,212.40 × 356,318.60
  4. Step 4: Simplify right side
    517,743.80x = 254,487,162,470.64
  5. Step 5: Solve for x
    x = 254,487,162,470.64/517,743.80
  6. Step 6: Final answer
    x = 491,531.07

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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.