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Finding the Fourth Proportional to 326,411.64, 489,157.92 and 259,554.78

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Solution

The fourth proportional to 326,411.64, 489,157.92 and 259,554.78 is: 388,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,411.64 : 489,157.92 = 259,554.78 : x
  2. Step 2: Convert to fraction form
    326,411.64/489,157.92 = 259,554.78/x
  3. Step 3: Cross multiply
    326,411.64x = 489,157.92 × 259,554.78
  4. Step 4: Simplify right side
    326,411.64x = 126,963,276,310.86
  5. Step 5: Solve for x
    x = 126,963,276,310.86/326,411.64
  6. Step 6: Final answer
    x = 388,966.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.