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Finding the Fourth Proportional to 307,749.78, 462,436.49 and 165,700.08

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Solution

The fourth proportional to 307,749.78, 462,436.49 and 165,700.08 is: 248,987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,749.78 : 462,436.49 = 165,700.08 : x
  2. Step 2: Convert to fraction form
    307,749.78/462,436.49 = 165,700.08/x
  3. Step 3: Cross multiply
    307,749.78x = 462,436.49 × 165,700.08
  4. Step 4: Simplify right side
    307,749.78x = 76,625,763,802.17
  5. Step 5: Solve for x
    x = 76,625,763,802.17/307,749.78
  6. Step 6: Final answer
    x = 248,987.23

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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.