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Finding the Fourth Proportional to 354,588.90, 489,396.15 and 211,358.22

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Solution

The fourth proportional to 354,588.90, 489,396.15 and 211,358.22 is: 291,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,588.90 : 489,396.15 = 211,358.22 : x
  2. Step 2: Convert to fraction form
    354,588.90/489,396.15 = 211,358.22/x
  3. Step 3: Cross multiply
    354,588.90x = 489,396.15 × 211,358.22
  4. Step 4: Simplify right side
    354,588.90x = 103,437,899,138.85
  5. Step 5: Solve for x
    x = 103,437,899,138.85/354,588.90
  6. Step 6: Final answer
    x = 291,712.17

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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.