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Finding the Fourth Proportional to 421,468.63, 632,203.55 and 172,150.63

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Solution

The fourth proportional to 421,468.63, 632,203.55 and 172,150.63 is: 258,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,468.63 : 632,203.55 = 172,150.63 : x
  2. Step 2: Convert to fraction form
    421,468.63/632,203.55 = 172,150.63/x
  3. Step 3: Cross multiply
    421,468.63x = 632,203.55 × 172,150.63
  4. Step 4: Simplify right side
    421,468.63x = 108,834,239,420.74
  5. Step 5: Solve for x
    x = 108,834,239,420.74/421,468.63
  6. Step 6: Final answer
    x = 258,226.19

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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.