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Finding the Fourth Proportional to 356,009.71, 491,289.40 and 194,862.84

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Solution

The fourth proportional to 356,009.71, 491,289.40 and 194,862.84 is: 268,908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,009.71 : 491,289.40 = 194,862.84 : x
  2. Step 2: Convert to fraction form
    356,009.71/491,289.40 = 194,862.84/x
  3. Step 3: Cross multiply
    356,009.71x = 491,289.40 × 194,862.84
  4. Step 4: Simplify right side
    356,009.71x = 95,734,046,492.57
  5. Step 5: Solve for x
    x = 95,734,046,492.57/356,009.71
  6. Step 6: Final answer
    x = 268,908.53

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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.