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Finding the Fourth Proportional to 288,657.72, 398,340.76 and 161,345.16

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Solution

The fourth proportional to 288,657.72, 398,340.76 and 161,345.16 is: 222,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,657.72 : 398,340.76 = 161,345.16 : x
  2. Step 2: Convert to fraction form
    288,657.72/398,340.76 = 161,345.16/x
  3. Step 3: Cross multiply
    288,657.72x = 398,340.76 × 161,345.16
  4. Step 4: Simplify right side
    288,657.72x = 64,270,352,889.33
  5. Step 5: Solve for x
    x = 64,270,352,889.33/288,657.72
  6. Step 6: Final answer
    x = 222,652.47

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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.