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Finding the Fourth Proportional to 295,649.31, 407,995.92 and 159,683.21

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Solution

The fourth proportional to 295,649.31, 407,995.92 and 159,683.21 is: 220,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,649.31 : 407,995.92 = 159,683.21 : x
  2. Step 2: Convert to fraction form
    295,649.31/407,995.92 = 159,683.21/x
  3. Step 3: Cross multiply
    295,649.31x = 407,995.92 × 159,683.21
  4. Step 4: Simplify right side
    295,649.31x = 65,150,096,132.52
  5. Step 5: Solve for x
    x = 65,150,096,132.52/295,649.31
  6. Step 6: Final answer
    x = 220,362.75

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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.