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Finding the Fourth Proportional to 199,454.40, 299,327.40 and 140,405.40

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Solution

The fourth proportional to 199,454.40, 299,327.40 and 140,405.40 is: 210,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,454.40 : 299,327.40 = 140,405.40 : x
  2. Step 2: Convert to fraction form
    199,454.40/299,327.40 = 140,405.40/x
  3. Step 3: Cross multiply
    199,454.40x = 299,327.40 × 140,405.40
  4. Step 4: Simplify right side
    199,454.40x = 42,027,183,327.96
  5. Step 5: Solve for x
    x = 42,027,183,327.96/199,454.40
  6. Step 6: Final answer
    x = 210,710.74

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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.