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Finding the Fourth Proportional to 291,294.70, 436,942.05 and 197,982.70

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Solution

The fourth proportional to 291,294.70, 436,942.05 and 197,982.70 is: 296,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,294.70 : 436,942.05 = 197,982.70 : x
  2. Step 2: Convert to fraction form
    291,294.70/436,942.05 = 197,982.70/x
  3. Step 3: Cross multiply
    291,294.70x = 436,942.05 × 197,982.70
  4. Step 4: Simplify right side
    291,294.70x = 86,506,966,802.54
  5. Step 5: Solve for x
    x = 86,506,966,802.54/291,294.70
  6. Step 6: Final answer
    x = 296,974.05

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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.