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Finding the Fourth Proportional to 356,289.71, 491,600.81 and 211,023.02

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Solution

The fourth proportional to 356,289.71, 491,600.81 and 211,023.02 is: 291,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,289.71 : 491,600.81 = 211,023.02 : x
  2. Step 2: Convert to fraction form
    356,289.71/491,600.81 = 211,023.02/x
  3. Step 3: Cross multiply
    356,289.71x = 491,600.81 × 211,023.02
  4. Step 4: Simplify right side
    356,289.71x = 103,739,088,426.95
  5. Step 5: Solve for x
    x = 103,739,088,426.95/356,289.71
  6. Step 6: Final answer
    x = 291,164.98

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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.