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Finding the Fourth Proportional to 343,793.76, 474,496 and 216,509.28

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Solution

The fourth proportional to 343,793.76, 474,496 and 216,509.28 is: 298,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,793.76 : 474,496 = 216,509.28 : x
  2. Step 2: Convert to fraction form
    343,793.76/474,496 = 216,509.28/x
  3. Step 3: Cross multiply
    343,793.76x = 474,496 × 216,509.28
  4. Step 4: Simplify right side
    343,793.76x = 102,732,787,322.88
  5. Step 5: Solve for x
    x = 102,732,787,322.88/343,793.76
  6. Step 6: Final answer
    x = 298,820.98

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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.