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Finding the Fourth Proportional to 259,869, 358,619.40 and 140,637

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Solution

The fourth proportional to 259,869, 358,619.40 and 140,637 is: 194,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,869 : 358,619.40 = 140,637 : x
  2. Step 2: Convert to fraction form
    259,869/358,619.40 = 140,637/x
  3. Step 3: Cross multiply
    259,869x = 358,619.40 × 140,637
  4. Step 4: Simplify right side
    259,869x = 50,435,156,557.80
  5. Step 5: Solve for x
    x = 50,435,156,557.80/259,869
  6. Step 6: Final answer
    x = 194,079.16

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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.