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Finding the Fourth Proportional to 358,355.48, 494,530.62 and 197,222

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Solution

The fourth proportional to 358,355.48, 494,530.62 and 197,222 is: 272,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,355.48 : 494,530.62 = 197,222 : x
  2. Step 2: Convert to fraction form
    358,355.48/494,530.62 = 197,222/x
  3. Step 3: Cross multiply
    358,355.48x = 494,530.62 × 197,222
  4. Step 4: Simplify right side
    358,355.48x = 97,532,317,937.64
  5. Step 5: Solve for x
    x = 97,532,317,937.64/358,355.48
  6. Step 6: Final answer
    x = 272,166.39

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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.