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Finding the Fourth Proportional to 432,278.40, 648,110.40 and 195,734.40

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Solution

The fourth proportional to 432,278.40, 648,110.40 and 195,734.40 is: 293,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,278.40 : 648,110.40 = 195,734.40 : x
  2. Step 2: Convert to fraction form
    432,278.40/648,110.40 = 195,734.40/x
  3. Step 3: Cross multiply
    432,278.40x = 648,110.40 × 195,734.40
  4. Step 4: Simplify right side
    432,278.40x = 126,857,500,277.76
  5. Step 5: Solve for x
    x = 126,857,500,277.76/432,278.40
  6. Step 6: Final answer
    x = 293,462.50

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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.