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Finding the Fourth Proportional to 390,142.80, 585,408.60 and 221,792.40

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Solution

The fourth proportional to 390,142.80, 585,408.60 and 221,792.40 is: 332,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,142.80 : 585,408.60 = 221,792.40 : x
  2. Step 2: Convert to fraction form
    390,142.80/585,408.60 = 221,792.40/x
  3. Step 3: Cross multiply
    390,142.80x = 585,408.60 × 221,792.40
  4. Step 4: Simplify right side
    390,142.80x = 129,839,178,374.64
  5. Step 5: Solve for x
    x = 129,839,178,374.64/390,142.80
  6. Step 6: Final answer
    x = 332,799.11

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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.