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Finding the Fourth Proportional to 357,798.98, 493,765.66 and 196,657.78

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Solution

The fourth proportional to 357,798.98, 493,765.66 and 196,657.78 is: 271,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,798.98 : 493,765.66 = 196,657.78 : x
  2. Step 2: Convert to fraction form
    357,798.98/493,765.66 = 196,657.78/x
  3. Step 3: Cross multiply
    357,798.98x = 493,765.66 × 196,657.78
  4. Step 4: Simplify right side
    357,798.98x = 97,102,858,535.83
  5. Step 5: Solve for x
    x = 97,102,858,535.83/357,798.98
  6. Step 6: Final answer
    x = 271,389.42

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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.