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Finding the Fourth Proportional to 491,416.47, 678,042.51 and 276,478.11

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Solution

The fourth proportional to 491,416.47, 678,042.51 and 276,478.11 is: 381,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,416.47 : 678,042.51 = 276,478.11 : x
  2. Step 2: Convert to fraction form
    491,416.47/678,042.51 = 276,478.11/x
  3. Step 3: Cross multiply
    491,416.47x = 678,042.51 × 276,478.11
  4. Step 4: Simplify right side
    491,416.47x = 187,463,911,664.46
  5. Step 5: Solve for x
    x = 187,463,911,664.46/491,416.47
  6. Step 6: Final answer
    x = 381,476.66

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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.