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Finding the Fourth Proportional to 306,381.51, 422,509.64 and 204,411.13

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Solution

The fourth proportional to 306,381.51, 422,509.64 and 204,411.13 is: 281,889.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,381.51 : 422,509.64 = 204,411.13 : x
  2. Step 2: Convert to fraction form
    306,381.51/422,509.64 = 204,411.13/x
  3. Step 3: Cross multiply
    306,381.51x = 422,509.64 × 204,411.13
  4. Step 4: Simplify right side
    306,381.51x = 86,365,670,869.96
  5. Step 5: Solve for x
    x = 86,365,670,869.96/306,381.51
  6. Step 6: Final answer
    x = 281,889.30

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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.