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Finding the Fourth Proportional to 860,769, 1,291,360.86 and 269,793

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Solution

The fourth proportional to 860,769, 1,291,360.86 and 269,793 is: 404,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,769 : 1,291,360.86 = 269,793 : x
  2. Step 2: Convert to fraction form
    860,769/1,291,360.86 = 269,793/x
  3. Step 3: Cross multiply
    860,769x = 1,291,360.86 × 269,793
  4. Step 4: Simplify right side
    860,769x = 348,400,120,501.98
  5. Step 5: Solve for x
    x = 348,400,120,501.98/860,769
  6. Step 6: Final answer
    x = 404,754.49

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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.