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Finding the Fourth Proportional to 296,915.12, 445,262.16 and 119,362.40

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Solution

The fourth proportional to 296,915.12, 445,262.16 and 119,362.40 is: 178,999.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,915.12 : 445,262.16 = 119,362.40 : x
  2. Step 2: Convert to fraction form
    296,915.12/445,262.16 = 119,362.40/x
  3. Step 3: Cross multiply
    296,915.12x = 445,262.16 × 119,362.40
  4. Step 4: Simplify right side
    296,915.12x = 53,147,560,046.78
  5. Step 5: Solve for x
    x = 53,147,560,046.78/296,915.12
  6. Step 6: Final answer
    x = 178,999.17

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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.