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Finding the Fourth Proportional to 356,275.73, 491,663.97 and 213,035.78

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Solution

The fourth proportional to 356,275.73, 491,663.97 and 213,035.78 is: 293,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,275.73 : 491,663.97 = 213,035.78 : x
  2. Step 2: Convert to fraction form
    356,275.73/491,663.97 = 213,035.78/x
  3. Step 3: Cross multiply
    356,275.73x = 491,663.97 × 213,035.78
  4. Step 4: Simplify right side
    356,275.73x = 104,742,014,888.53
  5. Step 5: Solve for x
    x = 104,742,014,888.53/356,275.73
  6. Step 6: Final answer
    x = 293,991.44

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1.5x scale

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.