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Finding the Fourth Proportional to 225,069, 310,274.64 and 153,357

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Solution

The fourth proportional to 225,069, 310,274.64 and 153,357 is: 211,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,069 : 310,274.64 = 153,357 : x
  2. Step 2: Convert to fraction form
    225,069/310,274.64 = 153,357/x
  3. Step 3: Cross multiply
    225,069x = 310,274.64 × 153,357
  4. Step 4: Simplify right side
    225,069x = 47,582,787,966.48
  5. Step 5: Solve for x
    x = 47,582,787,966.48/225,069
  6. Step 6: Final answer
    x = 211,414.22

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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.