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Finding the Fourth Proportional to 242,910.50, 335,245.74 and 142,308.50

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Solution

The fourth proportional to 242,910.50, 335,245.74 and 142,308.50 is: 196,402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,910.50 : 335,245.74 = 142,308.50 : x
  2. Step 2: Convert to fraction form
    242,910.50/335,245.74 = 142,308.50/x
  3. Step 3: Cross multiply
    242,910.50x = 335,245.74 × 142,308.50
  4. Step 4: Simplify right side
    242,910.50x = 47,708,318,390.79
  5. Step 5: Solve for x
    x = 47,708,318,390.79/242,910.50
  6. Step 6: Final answer
    x = 196,402.87

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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.