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Finding the Fourth Proportional to 402,742.60, 603,422.70 and 191,926.60

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Solution

The fourth proportional to 402,742.60, 603,422.70 and 191,926.60 is: 287,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,742.60 : 603,422.70 = 191,926.60 : x
  2. Step 2: Convert to fraction form
    402,742.60/603,422.70 = 191,926.60/x
  3. Step 3: Cross multiply
    402,742.60x = 603,422.70 × 191,926.60
  4. Step 4: Simplify right side
    402,742.60x = 115,812,867,173.82
  5. Step 5: Solve for x
    x = 115,812,867,173.82/402,742.60
  6. Step 6: Final answer
    x = 287,560.51

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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.