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Finding the Fourth Proportional to 384,093.40, 576,140.10 and 258,122.20

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Solution

The fourth proportional to 384,093.40, 576,140.10 and 258,122.20 is: 387,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,093.40 : 576,140.10 = 258,122.20 : x
  2. Step 2: Convert to fraction form
    384,093.40/576,140.10 = 258,122.20/x
  3. Step 3: Cross multiply
    384,093.40x = 576,140.10 × 258,122.20
  4. Step 4: Simplify right side
    384,093.40x = 148,714,550,120.22
  5. Step 5: Solve for x
    x = 148,714,550,120.22/384,093.40
  6. Step 6: Final answer
    x = 387,183.30

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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.