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Finding the Fourth Proportional to 561,286, 842,233.56 and 325,090

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Solution

The fourth proportional to 561,286, 842,233.56 and 325,090 is: 487,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,286 : 842,233.56 = 325,090 : x
  2. Step 2: Convert to fraction form
    561,286/842,233.56 = 325,090/x
  3. Step 3: Cross multiply
    561,286x = 842,233.56 × 325,090
  4. Step 4: Simplify right side
    561,286x = 273,801,708,020.40
  5. Step 5: Solve for x
    x = 273,801,708,020.40/561,286
  6. Step 6: Final answer
    x = 487,811.40

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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.