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Finding the Fourth Proportional to 390,216.92, 585,325.24 and 109,734.16

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Solution

The fourth proportional to 390,216.92, 585,325.24 and 109,734.16 is: 164,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,216.92 : 585,325.24 = 109,734.16 : x
  2. Step 2: Convert to fraction form
    390,216.92/585,325.24 = 109,734.16/x
  3. Step 3: Cross multiply
    390,216.92x = 585,325.24 × 109,734.16
  4. Step 4: Simplify right side
    390,216.92x = 64,230,173,538.20
  5. Step 5: Solve for x
    x = 64,230,173,538.20/390,216.92
  6. Step 6: Final answer
    x = 164,601.20

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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.