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Finding the Fourth Proportional to 354,644.64, 489,419.28 and 211,416.48

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Solution

The fourth proportional to 354,644.64, 489,419.28 and 211,416.48 is: 291,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,644.64 : 489,419.28 = 211,416.48 : x
  2. Step 2: Convert to fraction form
    354,644.64/489,419.28 = 211,416.48/x
  3. Step 3: Cross multiply
    354,644.64x = 489,419.28 × 211,416.48
  4. Step 4: Simplify right side
    354,644.64x = 103,471,301,421.73
  5. Step 5: Solve for x
    x = 103,471,301,421.73/354,644.64
  6. Step 6: Final answer
    x = 291,760.51

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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.