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Finding the Fourth Proportional to 517,709.25, 776,681.51 and 157,912.28

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Solution

The fourth proportional to 517,709.25, 776,681.51 and 157,912.28 is: 236,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,709.25 : 776,681.51 = 157,912.28 : x
  2. Step 2: Convert to fraction form
    517,709.25/776,681.51 = 157,912.28/x
  3. Step 3: Cross multiply
    517,709.25x = 776,681.51 × 157,912.28
  4. Step 4: Simplify right side
    517,709.25x = 122,647,551,574.62
  5. Step 5: Solve for x
    x = 122,647,551,574.62/517,709.25
  6. Step 6: Final answer
    x = 236,904.31

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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.