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Finding the Fourth Proportional to 521,172.36, 781,873.32 and 296,638.50

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Solution

The fourth proportional to 521,172.36, 781,873.32 and 296,638.50 is: 445,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,172.36 : 781,873.32 = 296,638.50 : x
  2. Step 2: Convert to fraction form
    521,172.36/781,873.32 = 296,638.50/x
  3. Step 3: Cross multiply
    521,172.36x = 781,873.32 × 296,638.50
  4. Step 4: Simplify right side
    521,172.36x = 231,933,728,834.82
  5. Step 5: Solve for x
    x = 231,933,728,834.82/521,172.36
  6. Step 6: Final answer
    x = 445,023.08

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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.