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Finding the Fourth Proportional to 268,595.40, 402,455.70 and 197,736.60

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Solution

The fourth proportional to 268,595.40, 402,455.70 and 197,736.60 is: 296,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,595.40 : 402,455.70 = 197,736.60 : x
  2. Step 2: Convert to fraction form
    268,595.40/402,455.70 = 197,736.60/x
  3. Step 3: Cross multiply
    268,595.40x = 402,455.70 × 197,736.60
  4. Step 4: Simplify right side
    268,595.40x = 79,580,221,768.62
  5. Step 5: Solve for x
    x = 79,580,221,768.62/268,595.40
  6. Step 6: Final answer
    x = 296,282.89

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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.