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Finding the Fourth Proportional to 519,433.80, 779,223.60 and 164,410.80

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Solution

The fourth proportional to 519,433.80, 779,223.60 and 164,410.80 is: 246,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,433.80 : 779,223.60 = 164,410.80 : x
  2. Step 2: Convert to fraction form
    519,433.80/779,223.60 = 164,410.80/x
  3. Step 3: Cross multiply
    519,433.80x = 779,223.60 × 164,410.80
  4. Step 4: Simplify right side
    519,433.80x = 128,112,775,454.88
  5. Step 5: Solve for x
    x = 128,112,775,454.88/519,433.80
  6. Step 6: Final answer
    x = 246,639.27

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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.