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Finding the Fourth Proportional to 224,928.32, 310,410.50 and 129,435.39

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Solution

The fourth proportional to 224,928.32, 310,410.50 and 129,435.39 is: 178,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,928.32 : 310,410.50 = 129,435.39 : x
  2. Step 2: Convert to fraction form
    224,928.32/310,410.50 = 129,435.39/x
  3. Step 3: Cross multiply
    224,928.32x = 310,410.50 × 129,435.39
  4. Step 4: Simplify right side
    224,928.32x = 40,178,103,480.42
  5. Step 5: Solve for x
    x = 40,178,103,480.42/224,928.32
  6. Step 6: Final answer
    x = 178,626.26

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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.