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Finding the Fourth Proportional to 289,646.56, 399,293.40 and 203,342.76

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Solution

The fourth proportional to 289,646.56, 399,293.40 and 203,342.76 is: 280,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,646.56 : 399,293.40 = 203,342.76 : x
  2. Step 2: Convert to fraction form
    289,646.56/399,293.40 = 203,342.76/x
  3. Step 3: Cross multiply
    289,646.56x = 399,293.40 × 203,342.76
  4. Step 4: Simplify right side
    289,646.56x = 81,193,422,005.78
  5. Step 5: Solve for x
    x = 81,193,422,005.78/289,646.56
  6. Step 6: Final answer
    x = 280,318.96

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1.5x scale

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.