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Finding the Fourth Proportional to 354,638.52, 489,334.16 and 211,411.88

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Solution

The fourth proportional to 354,638.52, 489,334.16 and 211,411.88 is: 291,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,638.52 : 489,334.16 = 211,411.88 : x
  2. Step 2: Convert to fraction form
    354,638.52/489,334.16 = 211,411.88/x
  3. Step 3: Cross multiply
    354,638.52x = 489,334.16 × 211,411.88
  4. Step 4: Simplify right side
    354,638.52x = 103,451,054,713.82
  5. Step 5: Solve for x
    x = 103,451,054,713.82/354,638.52
  6. Step 6: Final answer
    x = 291,708.45

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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.