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Finding the Fourth Proportional to 225,009.36, 310,442.76 and 149,570.64

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Solution

The fourth proportional to 225,009.36, 310,442.76 and 149,570.64 is: 206,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,009.36 : 310,442.76 = 149,570.64 : x
  2. Step 2: Convert to fraction form
    225,009.36/310,442.76 = 149,570.64/x
  3. Step 3: Cross multiply
    225,009.36x = 310,442.76 × 149,570.64
  4. Step 4: Simplify right side
    225,009.36x = 46,433,122,296.57
  5. Step 5: Solve for x
    x = 46,433,122,296.57/225,009.36
  6. Step 6: Final answer
    x = 206,360.85

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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.