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Finding the Fourth Proportional to 356,546.38, 492,022.86 and 195,398.50

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Solution

The fourth proportional to 356,546.38, 492,022.86 and 195,398.50 is: 269,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,546.38 : 492,022.86 = 195,398.50 : x
  2. Step 2: Convert to fraction form
    356,546.38/492,022.86 = 195,398.50/x
  3. Step 3: Cross multiply
    356,546.38x = 492,022.86 × 195,398.50
  4. Step 4: Simplify right side
    356,546.38x = 96,140,528,809.71
  5. Step 5: Solve for x
    x = 96,140,528,809.71/356,546.38
  6. Step 6: Final answer
    x = 269,643.82

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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.