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Finding the Fourth Proportional to 390,830.40, 585,808.20 and 222,431.40

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Solution

The fourth proportional to 390,830.40, 585,808.20 and 222,431.40 is: 333,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,830.40 : 585,808.20 = 222,431.40 : x
  2. Step 2: Convert to fraction form
    390,830.40/585,808.20 = 222,431.40/x
  3. Step 3: Cross multiply
    390,830.40x = 585,808.20 × 222,431.40
  4. Step 4: Simplify right side
    390,830.40x = 130,302,138,057.48
  5. Step 5: Solve for x
    x = 130,302,138,057.48/390,830.40
  6. Step 6: Final answer
    x = 333,398.16

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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.