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Finding the Fourth Proportional to 390,107.43, 585,186.66 and 120,202.47

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Solution

The fourth proportional to 390,107.43, 585,186.66 and 120,202.47 is: 180,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,107.43 : 585,186.66 = 120,202.47 : x
  2. Step 2: Convert to fraction form
    390,107.43/585,186.66 = 120,202.47/x
  3. Step 3: Cross multiply
    390,107.43x = 585,186.66 × 120,202.47
  4. Step 4: Simplify right side
    390,107.43x = 70,340,881,943.05
  5. Step 5: Solve for x
    x = 70,340,881,943.05/390,107.43
  6. Step 6: Final answer
    x = 180,311.57

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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.