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Finding the Fourth Proportional to 291,478.14, 402,229.22 and 162,409.95

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Solution

The fourth proportional to 291,478.14, 402,229.22 and 162,409.95 is: 224,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,478.14 : 402,229.22 = 162,409.95 : x
  2. Step 2: Convert to fraction form
    291,478.14/402,229.22 = 162,409.95/x
  3. Step 3: Cross multiply
    291,478.14x = 402,229.22 × 162,409.95
  4. Step 4: Simplify right side
    291,478.14x = 65,326,024,685.54
  5. Step 5: Solve for x
    x = 65,326,024,685.54/291,478.14
  6. Step 6: Final answer
    x = 224,119.81

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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.