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Finding the Fourth Proportional to 421,773.30, 632,662.35 and 172,455.30

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Solution

The fourth proportional to 421,773.30, 632,662.35 and 172,455.30 is: 258,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,773.30 : 632,662.35 = 172,455.30 : x
  2. Step 2: Convert to fraction form
    421,773.30/632,662.35 = 172,455.30/x
  3. Step 3: Cross multiply
    421,773.30x = 632,662.35 × 172,455.30
  4. Step 4: Simplify right side
    421,773.30x = 109,105,975,367.96
  5. Step 5: Solve for x
    x = 109,105,975,367.96/421,773.30
  6. Step 6: Final answer
    x = 258,683.93

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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.