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Finding the Fourth Proportional to 315,522.52, 435,417.87 and 194,615.44

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Solution

The fourth proportional to 315,522.52, 435,417.87 and 194,615.44 is: 268,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,522.52 : 435,417.87 = 194,615.44 : x
  2. Step 2: Convert to fraction form
    315,522.52/435,417.87 = 194,615.44/x
  3. Step 3: Cross multiply
    315,522.52x = 435,417.87 × 194,615.44
  4. Step 4: Simplify right side
    315,522.52x = 84,739,040,353.91
  5. Step 5: Solve for x
    x = 84,739,040,353.91/315,522.52
  6. Step 6: Final answer
    x = 268,567.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.