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Finding the Fourth Proportional to 519,866, 779,679.12 and 164,813.84

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Solution

The fourth proportional to 519,866, 779,679.12 and 164,813.84 is: 247,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,866 : 779,679.12 = 164,813.84 : x
  2. Step 2: Convert to fraction form
    519,866/779,679.12 = 164,813.84/x
  3. Step 3: Cross multiply
    519,866x = 779,679.12 × 164,813.84
  4. Step 4: Simplify right side
    519,866x = 128,501,909,735.02
  5. Step 5: Solve for x
    x = 128,501,909,735.02/519,866
  6. Step 6: Final answer
    x = 247,182.75

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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.