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Finding the Fourth Proportional to 342,864.80, 514,370.64 and 174,408.56

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Solution

The fourth proportional to 342,864.80, 514,370.64 and 174,408.56 is: 261,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,864.80 : 514,370.64 = 174,408.56 : x
  2. Step 2: Convert to fraction form
    342,864.80/514,370.64 = 174,408.56/x
  3. Step 3: Cross multiply
    342,864.80x = 514,370.64 × 174,408.56
  4. Step 4: Simplify right side
    342,864.80x = 89,710,642,628.68
  5. Step 5: Solve for x
    x = 89,710,642,628.68/342,864.80
  6. Step 6: Final answer
    x = 261,650.20

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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.