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Finding the Fourth Proportional to 519,115.89, 778,669.25 and 164,130.15

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Solution

The fourth proportional to 519,115.89, 778,669.25 and 164,130.15 is: 246,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,115.89 : 778,669.25 = 164,130.15 : x
  2. Step 2: Convert to fraction form
    519,115.89/778,669.25 = 164,130.15/x
  3. Step 3: Cross multiply
    519,115.89x = 778,669.25 × 164,130.15
  4. Step 4: Simplify right side
    519,115.89x = 127,803,099,982.24
  5. Step 5: Solve for x
    x = 127,803,099,982.24/519,115.89
  6. Step 6: Final answer
    x = 246,193.77

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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.