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Finding the Fourth Proportional to 428,678.33, 642,886.13 and 296,408.57

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Solution

The fourth proportional to 428,678.33, 642,886.13 and 296,408.57 is: 444,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,678.33 : 642,886.13 = 296,408.57 : x
  2. Step 2: Convert to fraction form
    428,678.33/642,886.13 = 296,408.57/x
  3. Step 3: Cross multiply
    428,678.33x = 642,886.13 × 296,408.57
  4. Step 4: Simplify right side
    428,678.33x = 190,556,955,992.73
  5. Step 5: Solve for x
    x = 190,556,955,992.73/428,678.33
  6. Step 6: Final answer
    x = 444,522.02

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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.