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Finding the Fourth Proportional to 860,789, 1,291,390.86 and 269,813

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Solution

The fourth proportional to 860,789, 1,291,390.86 and 269,813 is: 404,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,789 : 1,291,390.86 = 269,813 : x
  2. Step 2: Convert to fraction form
    860,789/1,291,390.86 = 269,813/x
  3. Step 3: Cross multiply
    860,789x = 1,291,390.86 × 269,813
  4. Step 4: Simplify right side
    860,789x = 348,434,042,109.18
  5. Step 5: Solve for x
    x = 348,434,042,109.18/860,789
  6. Step 6: Final answer
    x = 404,784.50

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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.