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Finding the Fourth Proportional to 306,411.66, 422,731.74 and 190,071.16

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Solution

The fourth proportional to 306,411.66, 422,731.74 and 190,071.16 is: 262,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,411.66 : 422,731.74 = 190,071.16 : x
  2. Step 2: Convert to fraction form
    306,411.66/422,731.74 = 190,071.16/x
  3. Step 3: Cross multiply
    306,411.66x = 422,731.74 × 190,071.16
  4. Step 4: Simplify right side
    306,411.66x = 80,349,111,846.56
  5. Step 5: Solve for x
    x = 80,349,111,846.56/306,411.66
  6. Step 6: Final answer
    x = 262,226.03

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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.