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Finding the Fourth Proportional to 343,955.28, 474,671.92 and 198,756.24

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Solution

The fourth proportional to 343,955.28, 474,671.92 and 198,756.24 is: 274,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,955.28 : 474,671.92 = 198,756.24 : x
  2. Step 2: Convert to fraction form
    343,955.28/474,671.92 = 198,756.24/x
  3. Step 3: Cross multiply
    343,955.28x = 474,671.92 × 198,756.24
  4. Step 4: Simplify right side
    343,955.28x = 94,344,006,052.78
  5. Step 5: Solve for x
    x = 94,344,006,052.78/343,955.28
  6. Step 6: Final answer
    x = 274,291.49

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1.5x scale

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.