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Finding the Fourth Proportional to 225,072, 310,278.78 and 153,360

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Solution

The fourth proportional to 225,072, 310,278.78 and 153,360 is: 211,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,072 : 310,278.78 = 153,360 : x
  2. Step 2: Convert to fraction form
    225,072/310,278.78 = 153,360/x
  3. Step 3: Cross multiply
    225,072x = 310,278.78 × 153,360
  4. Step 4: Simplify right side
    225,072x = 47,584,353,700.80
  5. Step 5: Solve for x
    x = 47,584,353,700.80/225,072
  6. Step 6: Final answer
    x = 211,418.36

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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.