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Finding the Fourth Proportional to 315,615.78, 473,534.24 and 197,148.42

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Solution

The fourth proportional to 315,615.78, 473,534.24 and 197,148.42 is: 295,791.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,615.78 : 473,534.24 = 197,148.42 : x
  2. Step 2: Convert to fraction form
    315,615.78/473,534.24 = 197,148.42/x
  3. Step 3: Cross multiply
    315,615.78x = 473,534.24 × 197,148.42
  4. Step 4: Simplify right side
    315,615.78x = 93,356,526,246.16
  5. Step 5: Solve for x
    x = 93,356,526,246.16/315,615.78
  6. Step 6: Final answer
    x = 295,791.69

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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.