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Finding the Fourth Proportional to 386,201.85, 579,223.56 and 146,232.96

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Solution

The fourth proportional to 386,201.85, 579,223.56 and 146,232.96 is: 219,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,201.85 : 579,223.56 = 146,232.96 : x
  2. Step 2: Convert to fraction form
    386,201.85/579,223.56 = 146,232.96/x
  3. Step 3: Cross multiply
    386,201.85x = 579,223.56 × 146,232.96
  4. Step 4: Simplify right side
    386,201.85x = 84,701,575,680.54
  5. Step 5: Solve for x
    x = 84,701,575,680.54/386,201.85
  6. Step 6: Final answer
    x = 219,319.45

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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.