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Finding the Fourth Proportional to 357,874.56, 493,866.72 and 196,740

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Solution

The fourth proportional to 357,874.56, 493,866.72 and 196,740 is: 271,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,874.56 : 493,866.72 = 196,740 : x
  2. Step 2: Convert to fraction form
    357,874.56/493,866.72 = 196,740/x
  3. Step 3: Cross multiply
    357,874.56x = 493,866.72 × 196,740
  4. Step 4: Simplify right side
    357,874.56x = 97,163,338,492.80
  5. Step 5: Solve for x
    x = 97,163,338,492.80/357,874.56
  6. Step 6: Final answer
    x = 271,501.11

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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.