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Finding the Fourth Proportional to 520,858.71, 781,362.95 and 161,057.66

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Solution

The fourth proportional to 520,858.71, 781,362.95 and 161,057.66 is: 241,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,858.71 : 781,362.95 = 161,057.66 : x
  2. Step 2: Convert to fraction form
    520,858.71/781,362.95 = 161,057.66/x
  3. Step 3: Cross multiply
    520,858.71x = 781,362.95 × 161,057.66
  4. Step 4: Simplify right side
    520,858.71x = 125,844,483,625.59
  5. Step 5: Solve for x
    x = 125,844,483,625.59/520,858.71
  6. Step 6: Final answer
    x = 241,609.64

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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.