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Finding the Fourth Proportional to 587,078, 810,177.72 and 318,806

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Solution

The fourth proportional to 587,078, 810,177.72 and 318,806 is: 439,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,078 : 810,177.72 = 318,806 : x
  2. Step 2: Convert to fraction form
    587,078/810,177.72 = 318,806/x
  3. Step 3: Cross multiply
    587,078x = 810,177.72 × 318,806
  4. Step 4: Simplify right side
    587,078x = 258,289,518,202.32
  5. Step 5: Solve for x
    x = 258,289,518,202.32/587,078
  6. Step 6: Final answer
    x = 439,957.75

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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.