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Finding the Fourth Proportional to 357,830.84, 493,796.40 and 196,685.84

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Solution

The fourth proportional to 357,830.84, 493,796.40 and 196,685.84 is: 271,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,830.84 : 493,796.40 = 196,685.84 : x
  2. Step 2: Convert to fraction form
    357,830.84/493,796.40 = 196,685.84/x
  3. Step 3: Cross multiply
    357,830.84x = 493,796.40 × 196,685.84
  4. Step 4: Simplify right side
    357,830.84x = 97,122,759,722.98
  5. Step 5: Solve for x
    x = 97,122,759,722.98/357,830.84
  6. Step 6: Final answer
    x = 271,420.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.