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Finding the Fourth Proportional to 315,023.48, 434,742.90 and 171,791.36

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Solution

The fourth proportional to 315,023.48, 434,742.90 and 171,791.36 is: 237,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,023.48 : 434,742.90 = 171,791.36 : x
  2. Step 2: Convert to fraction form
    315,023.48/434,742.90 = 171,791.36/x
  3. Step 3: Cross multiply
    315,023.48x = 434,742.90 × 171,791.36
  4. Step 4: Simplify right side
    315,023.48x = 74,685,074,041.34
  5. Step 5: Solve for x
    x = 74,685,074,041.34/315,023.48
  6. Step 6: Final answer
    x = 237,077.80

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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.