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Finding the Fourth Proportional to 895,217, 1,235,399.46 and 492,809

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Solution

The fourth proportional to 895,217, 1,235,399.46 and 492,809 is: 680,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,217 : 1,235,399.46 = 492,809 : x
  2. Step 2: Convert to fraction form
    895,217/1,235,399.46 = 492,809/x
  3. Step 3: Cross multiply
    895,217x = 1,235,399.46 × 492,809
  4. Step 4: Simplify right side
    895,217x = 608,815,972,483.14
  5. Step 5: Solve for x
    x = 608,815,972,483.14/895,217
  6. Step 6: Final answer
    x = 680,076.42

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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.