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Finding the Fourth Proportional to 519,830.70, 779,673.15 and 164,880.60

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Solution

The fourth proportional to 519,830.70, 779,673.15 and 164,880.60 is: 247,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,830.70 : 779,673.15 = 164,880.60 : x
  2. Step 2: Convert to fraction form
    519,830.70/779,673.15 = 164,880.60/x
  3. Step 3: Cross multiply
    519,830.70x = 779,673.15 × 164,880.60
  4. Step 4: Simplify right side
    519,830.70x = 128,552,976,775.89
  5. Step 5: Solve for x
    x = 128,552,976,775.89/519,830.70
  6. Step 6: Final answer
    x = 247,297.78

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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.