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Finding the Fourth Proportional to 421,467.16, 631,534.90 and 342,194.08

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Solution

The fourth proportional to 421,467.16, 631,534.90 and 342,194.08 is: 512,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,467.16 : 631,534.90 = 342,194.08 : x
  2. Step 2: Convert to fraction form
    421,467.16/631,534.90 = 342,194.08/x
  3. Step 3: Cross multiply
    421,467.16x = 631,534.90 × 342,194.08
  4. Step 4: Simplify right side
    421,467.16x = 216,107,504,093.39
  5. Step 5: Solve for x
    x = 216,107,504,093.39/421,467.16
  6. Step 6: Final answer
    x = 512,750.52

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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.