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Finding the Fourth Proportional to 297,262.40, 409,817.12 and 212,231.68

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Solution

The fourth proportional to 297,262.40, 409,817.12 and 212,231.68 is: 292,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,262.40 : 409,817.12 = 212,231.68 : x
  2. Step 2: Convert to fraction form
    297,262.40/409,817.12 = 212,231.68/x
  3. Step 3: Cross multiply
    297,262.40x = 409,817.12 × 212,231.68
  4. Step 4: Simplify right side
    297,262.40x = 86,976,175,870.36
  5. Step 5: Solve for x
    x = 86,976,175,870.36/297,262.40
  6. Step 6: Final answer
    x = 292,590.57

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1.5x scale

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.