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Finding the Fourth Proportional to 224,378.40, 309,614.40 and 137,207.32

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Solution

The fourth proportional to 224,378.40, 309,614.40 and 137,207.32 is: 189,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,378.40 : 309,614.40 = 137,207.32 : x
  2. Step 2: Convert to fraction form
    224,378.40/309,614.40 = 137,207.32/x
  3. Step 3: Cross multiply
    224,378.40x = 309,614.40 × 137,207.32
  4. Step 4: Simplify right side
    224,378.40x = 42,481,361,283.37
  5. Step 5: Solve for x
    x = 42,481,361,283.37/224,378.40
  6. Step 6: Final answer
    x = 189,329.10

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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.