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Finding the Fourth Proportional to 389,966.48, 585,037.32 and 140,648.48

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Solution

The fourth proportional to 389,966.48, 585,037.32 and 140,648.48 is: 211,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,966.48 : 585,037.32 = 140,648.48 : x
  2. Step 2: Convert to fraction form
    389,966.48/585,037.32 = 140,648.48/x
  3. Step 3: Cross multiply
    389,966.48x = 585,037.32 × 140,648.48
  4. Step 4: Simplify right side
    389,966.48x = 82,284,609,801.27
  5. Step 5: Solve for x
    x = 82,284,609,801.27/389,966.48
  6. Step 6: Final answer
    x = 211,004.31

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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.