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Finding the Fourth Proportional to 421,356.74, 632,032.07 and 168,695.56

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Solution

The fourth proportional to 421,356.74, 632,032.07 and 168,695.56 is: 253,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,356.74 : 632,032.07 = 168,695.56 : x
  2. Step 2: Convert to fraction form
    421,356.74/632,032.07 = 168,695.56/x
  3. Step 3: Cross multiply
    421,356.74x = 632,032.07 × 168,695.56
  4. Step 4: Simplify right side
    421,356.74x = 106,621,003,933.17
  5. Step 5: Solve for x
    x = 106,621,003,933.17/421,356.74
  6. Step 6: Final answer
    x = 253,042.13

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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.