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Finding the Fourth Proportional to 224,316, 309,558.81 and 128,831.58

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Solution

The fourth proportional to 224,316, 309,558.81 and 128,831.58 is: 177,789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,316 : 309,558.81 = 128,831.58 : x
  2. Step 2: Convert to fraction form
    224,316/309,558.81 = 128,831.58/x
  3. Step 3: Cross multiply
    224,316x = 309,558.81 × 128,831.58
  4. Step 4: Simplify right side
    224,316x = 39,880,951,078.34
  5. Step 5: Solve for x
    x = 39,880,951,078.34/224,316
  6. Step 6: Final answer
    x = 177,789.15

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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.