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Finding the Fourth Proportional to 860,786, 1,291,386.36 and 269,810

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Solution

The fourth proportional to 860,786, 1,291,386.36 and 269,810 is: 404,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,786 : 1,291,386.36 = 269,810 : x
  2. Step 2: Convert to fraction form
    860,786/1,291,386.36 = 269,810/x
  3. Step 3: Cross multiply
    860,786x = 1,291,386.36 × 269,810
  4. Step 4: Simplify right side
    860,786x = 348,428,953,791.60
  5. Step 5: Solve for x
    x = 348,428,953,791.60/860,786
  6. Step 6: Final answer
    x = 404,780.00

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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.