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Finding the Fourth Proportional to 390,304.82, 585,058.46 and 221,468.49

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Solution

The fourth proportional to 390,304.82, 585,058.46 and 221,468.49 is: 331,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,304.82 : 585,058.46 = 221,468.49 : x
  2. Step 2: Convert to fraction form
    390,304.82/585,058.46 = 221,468.49/x
  3. Step 3: Cross multiply
    390,304.82x = 585,058.46 × 221,468.49
  4. Step 4: Simplify right side
    390,304.82x = 129,572,012,590.58
  5. Step 5: Solve for x
    x = 129,572,012,590.58/390,304.82
  6. Step 6: Final answer
    x = 331,976.46

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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.