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Finding the Fourth Proportional to 294,930, 442,395 and 97,938

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Solution

The fourth proportional to 294,930, 442,395 and 97,938 is: 146,907

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,930 : 442,395 = 97,938 : x
  2. Step 2: Convert to fraction form
    294,930/442,395 = 97,938/x
  3. Step 3: Cross multiply
    294,930x = 442,395 × 97,938
  4. Step 4: Simplify right side
    294,930x = 43,327,281,510
  5. Step 5: Solve for x
    x = 43,327,281,510/294,930
  6. Step 6: Final answer
    x = 146,907

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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.