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Finding the Fourth Proportional to 289,901.56, 399,927.90 and 205,065.40

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Solution

The fourth proportional to 289,901.56, 399,927.90 and 205,065.40 is: 282,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,901.56 : 399,927.90 = 205,065.40 : x
  2. Step 2: Convert to fraction form
    289,901.56/399,927.90 = 205,065.40/x
  3. Step 3: Cross multiply
    289,901.56x = 399,927.90 × 205,065.40
  4. Step 4: Simplify right side
    289,901.56x = 82,011,374,784.66
  5. Step 5: Solve for x
    x = 82,011,374,784.66/289,901.56
  6. Step 6: Final answer
    x = 282,893.87

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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.