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Finding the Fourth Proportional to 256,585.15, 384,940.32 and 180,831.39

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Solution

The fourth proportional to 256,585.15, 384,940.32 and 180,831.39 is: 271,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,585.15 : 384,940.32 = 180,831.39 : x
  2. Step 2: Convert to fraction form
    256,585.15/384,940.32 = 180,831.39/x
  3. Step 3: Cross multiply
    256,585.15x = 384,940.32 × 180,831.39
  4. Step 4: Simplify right side
    256,585.15x = 69,609,293,132.64
  5. Step 5: Solve for x
    x = 69,609,293,132.64/256,585.15
  6. Step 6: Final answer
    x = 271,291.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.