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Finding the Fourth Proportional to 290,058.96, 399,535.56 and 205,029.84

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Solution

The fourth proportional to 290,058.96, 399,535.56 and 205,029.84 is: 282,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,058.96 : 399,535.56 = 205,029.84 : x
  2. Step 2: Convert to fraction form
    290,058.96/399,535.56 = 205,029.84/x
  3. Step 3: Cross multiply
    290,058.96x = 399,535.56 × 205,029.84
  4. Step 4: Simplify right side
    290,058.96x = 81,916,711,941.11
  5. Step 5: Solve for x
    x = 81,916,711,941.11/290,058.96
  6. Step 6: Final answer
    x = 282,414.00

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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.