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Finding the Fourth Proportional to 288,900.24, 398,683.32 and 161,567.64

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Solution

The fourth proportional to 288,900.24, 398,683.32 and 161,567.64 is: 222,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,900.24 : 398,683.32 = 161,567.64 : x
  2. Step 2: Convert to fraction form
    288,900.24/398,683.32 = 161,567.64/x
  3. Step 3: Cross multiply
    288,900.24x = 398,683.32 × 161,567.64
  4. Step 4: Simplify right side
    288,900.24x = 64,414,323,119.76
  5. Step 5: Solve for x
    x = 64,414,323,119.76/288,900.24
  6. Step 6: Final answer
    x = 222,963.90

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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.