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Finding the Fourth Proportional to 587,209.50, 810,349.92 and 318,937.50

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Solution

The fourth proportional to 587,209.50, 810,349.92 and 318,937.50 is: 440,134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,209.50 : 810,349.92 = 318,937.50 : x
  2. Step 2: Convert to fraction form
    587,209.50/810,349.92 = 318,937.50/x
  3. Step 3: Cross multiply
    587,209.50x = 810,349.92 × 318,937.50
  4. Step 4: Simplify right side
    587,209.50x = 258,450,977,610
  5. Step 5: Solve for x
    x = 258,450,977,610/587,209.50
  6. Step 6: Final answer
    x = 440,134.19

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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.