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Finding the Fourth Proportional to 390,201.42, 585,302.37 and 109,718.67

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Solution

The fourth proportional to 390,201.42, 585,302.37 and 109,718.67 is: 164,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,201.42 : 585,302.37 = 109,718.67 : x
  2. Step 2: Convert to fraction form
    390,201.42/585,302.37 = 109,718.67/x
  3. Step 3: Cross multiply
    390,201.42x = 585,302.37 × 109,718.67
  4. Step 4: Simplify right side
    390,201.42x = 64,218,597,584.25
  5. Step 5: Solve for x
    x = 64,218,597,584.25/390,201.42
  6. Step 6: Final answer
    x = 164,578.07

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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.