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Finding the Fourth Proportional to 421,994.78, 632,892.80 and 122,396.30

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Solution

The fourth proportional to 421,994.78, 632,892.80 and 122,396.30 is: 183,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,994.78 : 632,892.80 = 122,396.30 : x
  2. Step 2: Convert to fraction form
    421,994.78/632,892.80 = 122,396.30/x
  3. Step 3: Cross multiply
    421,994.78x = 632,892.80 × 122,396.30
  4. Step 4: Simplify right side
    421,994.78x = 77,463,734,158.17
  5. Step 5: Solve for x
    x = 77,463,734,158.17/421,994.78
  6. Step 6: Final answer
    x = 183,565.62

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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.