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Finding the Fourth Proportional to 655,806.78, 983,982.33 and 314,078.31

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Solution

The fourth proportional to 655,806.78, 983,982.33 and 314,078.31 is: 471,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,806.78 : 983,982.33 = 314,078.31 : x
  2. Step 2: Convert to fraction form
    655,806.78/983,982.33 = 314,078.31/x
  3. Step 3: Cross multiply
    655,806.78x = 983,982.33 × 314,078.31
  4. Step 4: Simplify right side
    655,806.78x = 309,047,507,276.26
  5. Step 5: Solve for x
    x = 309,047,507,276.26/655,806.78
  6. Step 6: Final answer
    x = 471,247.81

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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.