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Finding the Fourth Proportional to 434,457.54, 650,837.90 and 206,428.64

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Solution

The fourth proportional to 434,457.54, 650,837.90 and 206,428.64 is: 309,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,457.54 : 650,837.90 = 206,428.64 : x
  2. Step 2: Convert to fraction form
    434,457.54/650,837.90 = 206,428.64/x
  3. Step 3: Cross multiply
    434,457.54x = 650,837.90 × 206,428.64
  4. Step 4: Simplify right side
    434,457.54x = 134,351,579,819.34
  5. Step 5: Solve for x
    x = 134,351,579,819.34/434,457.54
  6. Step 6: Final answer
    x = 309,239.84

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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.