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Finding the Fourth Proportional to 291,879.30, 402,792.78 and 164,553.98

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Solution

The fourth proportional to 291,879.30, 402,792.78 and 164,553.98 is: 227,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,879.30 : 402,792.78 = 164,553.98 : x
  2. Step 2: Convert to fraction form
    291,879.30/402,792.78 = 164,553.98/x
  3. Step 3: Cross multiply
    291,879.30x = 402,792.78 × 164,553.98
  4. Step 4: Simplify right side
    291,879.30x = 66,281,154,544.66
  5. Step 5: Solve for x
    x = 66,281,154,544.66/291,879.30
  6. Step 6: Final answer
    x = 227,084.12

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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.