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Finding the Fourth Proportional to 390,261.44, 585,324.12 and 109,712

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Solution

The fourth proportional to 390,261.44, 585,324.12 and 109,712 is: 164,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,261.44 : 585,324.12 = 109,712 : x
  2. Step 2: Convert to fraction form
    390,261.44/585,324.12 = 109,712/x
  3. Step 3: Cross multiply
    390,261.44x = 585,324.12 × 109,712
  4. Step 4: Simplify right side
    390,261.44x = 64,217,079,853.44
  5. Step 5: Solve for x
    x = 64,217,079,853.44/390,261.44
  6. Step 6: Final answer
    x = 164,548.87

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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.