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Finding the Fourth Proportional to 687,561.03, 948,816 and 381,636.54

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Solution

The fourth proportional to 687,561.03, 948,816 and 381,636.54 is: 526,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,561.03 : 948,816 = 381,636.54 : x
  2. Step 2: Convert to fraction form
    687,561.03/948,816 = 381,636.54/x
  3. Step 3: Cross multiply
    687,561.03x = 948,816 × 381,636.54
  4. Step 4: Simplify right side
    687,561.03x = 362,102,855,336.64
  5. Step 5: Solve for x
    x = 362,102,855,336.64/687,561.03
  6. Step 6: Final answer
    x = 526,648.31

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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.