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Finding the Fourth Proportional to 342,063.81, 472,216.38 and 214,809.57

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Solution

The fourth proportional to 342,063.81, 472,216.38 and 214,809.57 is: 296,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,063.81 : 472,216.38 = 214,809.57 : x
  2. Step 2: Convert to fraction form
    342,063.81/472,216.38 = 214,809.57/x
  3. Step 3: Cross multiply
    342,063.81x = 472,216.38 × 214,809.57
  4. Step 4: Simplify right side
    342,063.81x = 101,436,597,534.76
  5. Step 5: Solve for x
    x = 101,436,597,534.76/342,063.81
  6. Step 6: Final answer
    x = 296,542.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.