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Finding the Fourth Proportional to 342,014.70, 513,022.05 and 306,585.30

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Solution

The fourth proportional to 342,014.70, 513,022.05 and 306,585.30 is: 459,877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,014.70 : 513,022.05 = 306,585.30 : x
  2. Step 2: Convert to fraction form
    342,014.70/513,022.05 = 306,585.30/x
  3. Step 3: Cross multiply
    342,014.70x = 513,022.05 × 306,585.30
  4. Step 4: Simplify right side
    342,014.70x = 157,285,019,105.87
  5. Step 5: Solve for x
    x = 157,285,019,105.87/342,014.70
  6. Step 6: Final answer
    x = 459,877.95

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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.