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Finding the Fourth Proportional to 309,706.32, 464,245.74 and 209,876.61

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Solution

The fourth proportional to 309,706.32, 464,245.74 and 209,876.61 is: 314,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,706.32 : 464,245.74 = 209,876.61 : x
  2. Step 2: Convert to fraction form
    309,706.32/464,245.74 = 209,876.61/x
  3. Step 3: Cross multiply
    309,706.32x = 464,245.74 × 209,876.61
  4. Step 4: Simplify right side
    309,706.32x = 97,434,322,118.14
  5. Step 5: Solve for x
    x = 97,434,322,118.14/309,706.32
  6. Step 6: Final answer
    x = 314,602.30

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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.