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Finding the Fourth Proportional to 390,243.30, 585,465.70 and 120,365.37

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Solution

The fourth proportional to 390,243.30, 585,465.70 and 120,365.37 is: 180,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,243.30 : 585,465.70 = 120,365.37 : x
  2. Step 2: Convert to fraction form
    390,243.30/585,465.70 = 120,365.37/x
  3. Step 3: Cross multiply
    390,243.30x = 585,465.70 × 120,365.37
  4. Step 4: Simplify right side
    390,243.30x = 70,469,795,000.98
  5. Step 5: Solve for x
    x = 70,469,795,000.98/390,243.30
  6. Step 6: Final answer
    x = 180,579.13

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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.