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Finding the Fourth Proportional to 472,180, 651,608.40 and 260,212

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Solution

The fourth proportional to 472,180, 651,608.40 and 260,212 is: 359,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,180 : 651,608.40 = 260,212 : x
  2. Step 2: Convert to fraction form
    472,180/651,608.40 = 260,212/x
  3. Step 3: Cross multiply
    472,180x = 651,608.40 × 260,212
  4. Step 4: Simplify right side
    472,180x = 169,556,324,980.80
  5. Step 5: Solve for x
    x = 169,556,324,980.80/472,180
  6. Step 6: Final answer
    x = 359,092.56

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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.