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Finding the Fourth Proportional to 548,422.40, 821,029.80 and 390,958.40

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Solution

The fourth proportional to 548,422.40, 821,029.80 and 390,958.40 is: 585,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,422.40 : 821,029.80 = 390,958.40 : x
  2. Step 2: Convert to fraction form
    548,422.40/821,029.80 = 390,958.40/x
  3. Step 3: Cross multiply
    548,422.40x = 821,029.80 × 390,958.40
  4. Step 4: Simplify right side
    548,422.40x = 320,988,496,960.32
  5. Step 5: Solve for x
    x = 320,988,496,960.32/548,422.40
  6. Step 6: Final answer
    x = 585,294.29

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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.