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Finding the Fourth Proportional to 343,491.64, 473,928.78 and 198,261.88

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Solution

The fourth proportional to 343,491.64, 473,928.78 and 198,261.88 is: 273,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,491.64 : 473,928.78 = 198,261.88 : x
  2. Step 2: Convert to fraction form
    343,491.64/473,928.78 = 198,261.88/x
  3. Step 3: Cross multiply
    343,491.64x = 473,928.78 × 198,261.88
  4. Step 4: Simplify right side
    343,491.64x = 93,962,010,908.91
  5. Step 5: Solve for x
    x = 93,962,010,908.91/343,491.64
  6. Step 6: Final answer
    x = 273,549.63

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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.