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Finding the Fourth Proportional to 342,285.48, 513,496.64 and 105,619.24

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Solution

The fourth proportional to 342,285.48, 513,496.64 and 105,619.24 is: 158,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,285.48 : 513,496.64 = 105,619.24 : x
  2. Step 2: Convert to fraction form
    342,285.48/513,496.64 = 105,619.24/x
  3. Step 3: Cross multiply
    342,285.48x = 513,496.64 × 105,619.24
  4. Step 4: Simplify right side
    342,285.48x = 54,235,124,859.35
  5. Step 5: Solve for x
    x = 54,235,124,859.35/342,285.48
  6. Step 6: Final answer
    x = 158,449.97

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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.