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Finding the Fourth Proportional to 458,895.83, 688,107.39 and 205,959.48

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Solution

The fourth proportional to 458,895.83, 688,107.39 and 205,959.48 is: 308,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,895.83 : 688,107.39 = 205,959.48 : x
  2. Step 2: Convert to fraction form
    458,895.83/688,107.39 = 205,959.48/x
  3. Step 3: Cross multiply
    458,895.83x = 688,107.39 × 205,959.48
  4. Step 4: Simplify right side
    458,895.83x = 141,722,242,294.06
  5. Step 5: Solve for x
    x = 141,722,242,294.06/458,895.83
  6. Step 6: Final answer
    x = 308,833.15

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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.