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Finding the Fourth Proportional to 253,686.32, 380,560.74 and 82,903.97

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Solution

The fourth proportional to 253,686.32, 380,560.74 and 82,903.97 is: 124,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,686.32 : 380,560.74 = 82,903.97 : x
  2. Step 2: Convert to fraction form
    253,686.32/380,560.74 = 82,903.97/x
  3. Step 3: Cross multiply
    253,686.32x = 380,560.74 × 82,903.97
  4. Step 4: Simplify right side
    253,686.32x = 31,549,994,269.33
  5. Step 5: Solve for x
    x = 31,549,994,269.33/253,686.32
  6. Step 6: Final answer
    x = 124,366.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.