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Finding the Fourth Proportional to 356,978.16, 492,625.80 and 206,071.92

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Solution

The fourth proportional to 356,978.16, 492,625.80 and 206,071.92 is: 284,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,978.16 : 492,625.80 = 206,071.92 : x
  2. Step 2: Convert to fraction form
    356,978.16/492,625.80 = 206,071.92/x
  3. Step 3: Cross multiply
    356,978.16x = 492,625.80 × 206,071.92
  4. Step 4: Simplify right side
    356,978.16x = 101,516,344,447.54
  5. Step 5: Solve for x
    x = 101,516,344,447.54/356,978.16
  6. Step 6: Final answer
    x = 284,376.91

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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.