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Finding the Fourth Proportional to 343,794.26, 474,496.69 and 216,509.78

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Solution

The fourth proportional to 343,794.26, 474,496.69 and 216,509.78 is: 298,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,794.26 : 474,496.69 = 216,509.78 : x
  2. Step 2: Convert to fraction form
    343,794.26/474,496.69 = 216,509.78/x
  3. Step 3: Cross multiply
    343,794.26x = 474,496.69 × 216,509.78
  4. Step 4: Simplify right side
    343,794.26x = 102,733,173,962.63
  5. Step 5: Solve for x
    x = 102,733,173,962.63/343,794.26
  6. Step 6: Final answer
    x = 298,821.67

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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.