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Finding the Fourth Proportional to 342,278.70, 513,408.45 and 155,289.90

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Solution

The fourth proportional to 342,278.70, 513,408.45 and 155,289.90 is: 232,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,278.70 : 513,408.45 = 155,289.90 : x
  2. Step 2: Convert to fraction form
    342,278.70/513,408.45 = 155,289.90/x
  3. Step 3: Cross multiply
    342,278.70x = 513,408.45 × 155,289.90
  4. Step 4: Simplify right side
    342,278.70x = 79,727,146,859.66
  5. Step 5: Solve for x
    x = 79,727,146,859.66/342,278.70
  6. Step 6: Final answer
    x = 232,930.49

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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.