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Finding the Fourth Proportional to 274,497.66, 378,671.76 and 172,646.64

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Solution

The fourth proportional to 274,497.66, 378,671.76 and 172,646.64 is: 238,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,497.66 : 378,671.76 = 172,646.64 : x
  2. Step 2: Convert to fraction form
    274,497.66/378,671.76 = 172,646.64/x
  3. Step 3: Cross multiply
    274,497.66x = 378,671.76 × 172,646.64
  4. Step 4: Simplify right side
    274,497.66x = 65,376,407,026.89
  5. Step 5: Solve for x
    x = 65,376,407,026.89/274,497.66
  6. Step 6: Final answer
    x = 238,167.45

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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.