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Finding the Fourth Proportional to 390,421.22, 585,690.14 and 124,190.42

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Solution

The fourth proportional to 390,421.22, 585,690.14 and 124,190.42 is: 186,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,421.22 : 585,690.14 = 124,190.42 : x
  2. Step 2: Convert to fraction form
    390,421.22/585,690.14 = 124,190.42/x
  3. Step 3: Cross multiply
    390,421.22x = 585,690.14 × 124,190.42
  4. Step 4: Simplify right side
    390,421.22x = 72,737,101,858.48
  5. Step 5: Solve for x
    x = 72,737,101,858.48/390,421.22
  6. Step 6: Final answer
    x = 186,304.17

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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.