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Finding the Fourth Proportional to 343,819.60, 515,948.10 and 201,664.60

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Solution

The fourth proportional to 343,819.60, 515,948.10 and 201,664.60 is: 302,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,819.60 : 515,948.10 = 201,664.60 : x
  2. Step 2: Convert to fraction form
    343,819.60/515,948.10 = 201,664.60/x
  3. Step 3: Cross multiply
    343,819.60x = 515,948.10 × 201,664.60
  4. Step 4: Simplify right side
    343,819.60x = 104,048,467,207.26
  5. Step 5: Solve for x
    x = 104,048,467,207.26/343,819.60
  6. Step 6: Final answer
    x = 302,625.18

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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.