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Finding the Fourth Proportional to 288,831.15, 398,588.31 and 161,506.80

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Solution

The fourth proportional to 288,831.15, 398,588.31 and 161,506.80 is: 222,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,831.15 : 398,588.31 = 161,506.80 : x
  2. Step 2: Convert to fraction form
    288,831.15/398,588.31 = 161,506.80/x
  3. Step 3: Cross multiply
    288,831.15x = 398,588.31 × 161,506.80
  4. Step 4: Simplify right side
    288,831.15x = 64,374,722,465.51
  5. Step 5: Solve for x
    x = 64,374,722,465.51/288,831.15
  6. Step 6: Final answer
    x = 222,880.12

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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.