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Finding the Fourth Proportional to 356,363.66, 491,767.26 and 213,039.02

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Solution

The fourth proportional to 356,363.66, 491,767.26 and 213,039.02 is: 293,985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,363.66 : 491,767.26 = 213,039.02 : x
  2. Step 2: Convert to fraction form
    356,363.66/491,767.26 = 213,039.02/x
  3. Step 3: Cross multiply
    356,363.66x = 491,767.26 × 213,039.02
  4. Step 4: Simplify right side
    356,363.66x = 104,765,615,138.49
  5. Step 5: Solve for x
    x = 104,765,615,138.49/356,363.66
  6. Step 6: Final answer
    x = 293,985.13

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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.