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Finding the Fourth Proportional to 282,978.83, 391,070.85 and 231,911.03

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Solution

The fourth proportional to 282,978.83, 391,070.85 and 231,911.03 is: 320,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,978.83 : 391,070.85 = 231,911.03 : x
  2. Step 2: Convert to fraction form
    282,978.83/391,070.85 = 231,911.03/x
  3. Step 3: Cross multiply
    282,978.83x = 391,070.85 × 231,911.03
  4. Step 4: Simplify right side
    282,978.83x = 90,693,643,626.48
  5. Step 5: Solve for x
    x = 90,693,643,626.48/282,978.83
  6. Step 6: Final answer
    x = 320,496.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.