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Finding the Fourth Proportional to 390,131.40, 585,197.06 and 109,648.64

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Solution

The fourth proportional to 390,131.40, 585,197.06 and 109,648.64 is: 164,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,131.40 : 585,197.06 = 109,648.64 : x
  2. Step 2: Convert to fraction form
    390,131.40/585,197.06 = 109,648.64/x
  3. Step 3: Cross multiply
    390,131.40x = 585,197.06 × 109,648.64
  4. Step 4: Simplify right side
    390,131.40x = 64,166,061,761.00
  5. Step 5: Solve for x
    x = 64,166,061,761.00/390,131.40
  6. Step 6: Final answer
    x = 164,472.95

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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.