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Finding the Fourth Proportional to 342,090.34, 472,159.60 and 198,932.96

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Solution

The fourth proportional to 342,090.34, 472,159.60 and 198,932.96 is: 274,571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,090.34 : 472,159.60 = 198,932.96 : x
  2. Step 2: Convert to fraction form
    342,090.34/472,159.60 = 198,932.96/x
  3. Step 3: Cross multiply
    342,090.34x = 472,159.60 × 198,932.96
  4. Step 4: Simplify right side
    342,090.34x = 93,928,106,820.42
  5. Step 5: Solve for x
    x = 93,928,106,820.42/342,090.34
  6. Step 6: Final answer
    x = 274,571.06

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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.