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Finding the Fourth Proportional to 633,143.20, 948,908.40 and 258,743.20

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Solution

The fourth proportional to 633,143.20, 948,908.40 and 258,743.20 is: 387,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,143.20 : 948,908.40 = 258,743.20 : x
  2. Step 2: Convert to fraction form
    633,143.20/948,908.40 = 258,743.20/x
  3. Step 3: Cross multiply
    633,143.20x = 948,908.40 × 258,743.20
  4. Step 4: Simplify right side
    633,143.20x = 245,523,595,922.88
  5. Step 5: Solve for x
    x = 245,523,595,922.88/633,143.20
  6. Step 6: Final answer
    x = 387,785.25

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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.