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Finding the Fourth Proportional to 356,852.32, 492,420.72 and 205,997.92

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Solution

The fourth proportional to 356,852.32, 492,420.72 and 205,997.92 is: 284,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,852.32 : 492,420.72 = 205,997.92 : x
  2. Step 2: Convert to fraction form
    356,852.32/492,420.72 = 205,997.92/x
  3. Step 3: Cross multiply
    356,852.32x = 492,420.72 × 205,997.92
  4. Step 4: Simplify right side
    356,852.32x = 101,437,644,084.90
  5. Step 5: Solve for x
    x = 101,437,644,084.90/356,852.32
  6. Step 6: Final answer
    x = 284,256.65

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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.