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Finding the Fourth Proportional to 513,288, 769,919.04 and 139,301.28

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Solution

The fourth proportional to 513,288, 769,919.04 and 139,301.28 is: 208,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,288 : 769,919.04 = 139,301.28 : x
  2. Step 2: Convert to fraction form
    513,288/769,919.04 = 139,301.28/x
  3. Step 3: Cross multiply
    513,288x = 769,919.04 × 139,301.28
  4. Step 4: Simplify right side
    513,288x = 107,250,707,768.37
  5. Step 5: Solve for x
    x = 107,250,707,768.37/513,288
  6. Step 6: Final answer
    x = 208,948.40

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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.