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Finding the Fourth Proportional to 519,773.70, 779,721.30 and 164,823.60

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Solution

The fourth proportional to 519,773.70, 779,721.30 and 164,823.60 is: 247,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,773.70 : 779,721.30 = 164,823.60 : x
  2. Step 2: Convert to fraction form
    519,773.70/779,721.30 = 164,823.60/x
  3. Step 3: Cross multiply
    519,773.70x = 779,721.30 × 164,823.60
  4. Step 4: Simplify right side
    519,773.70x = 128,516,471,662.68
  5. Step 5: Solve for x
    x = 128,516,471,662.68/519,773.70
  6. Step 6: Final answer
    x = 247,254.66

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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.