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Finding the Fourth Proportional to 225,348.30, 310,980.74 and 123,380.24

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Solution

The fourth proportional to 225,348.30, 310,980.74 and 123,380.24 is: 170,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,348.30 : 310,980.74 = 123,380.24 : x
  2. Step 2: Convert to fraction form
    225,348.30/310,980.74 = 123,380.24/x
  3. Step 3: Cross multiply
    225,348.30x = 310,980.74 × 123,380.24
  4. Step 4: Simplify right side
    225,348.30x = 38,368,876,164.77
  5. Step 5: Solve for x
    x = 38,368,876,164.77/225,348.30
  6. Step 6: Final answer
    x = 170,264.77

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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.