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Finding the Fourth Proportional to 519,111.90, 778,522.05 and 164,234.70

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Solution

The fourth proportional to 519,111.90, 778,522.05 and 164,234.70 is: 246,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,111.90 : 778,522.05 = 164,234.70 : x
  2. Step 2: Convert to fraction form
    519,111.90/778,522.05 = 164,234.70/x
  3. Step 3: Cross multiply
    519,111.90x = 778,522.05 × 164,234.70
  4. Step 4: Simplify right side
    519,111.90x = 127,860,335,325.14
  5. Step 5: Solve for x
    x = 127,860,335,325.14/519,111.90
  6. Step 6: Final answer
    x = 246,305.92

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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.