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Finding the Fourth Proportional to 763,378, 1,145,067.06 and 238,066

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Solution

The fourth proportional to 763,378, 1,145,067.06 and 238,066 is: 357,099.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,378 : 1,145,067.06 = 238,066 : x
  2. Step 2: Convert to fraction form
    763,378/1,145,067.06 = 238,066/x
  3. Step 3: Cross multiply
    763,378x = 1,145,067.06 × 238,066
  4. Step 4: Simplify right side
    763,378x = 272,601,534,705.96
  5. Step 5: Solve for x
    x = 272,601,534,705.96/763,378
  6. Step 6: Final answer
    x = 357,099.02

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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.