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Finding the Fourth Proportional to 616,922.36, 851,102.32 and 401,984

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Solution

The fourth proportional to 616,922.36, 851,102.32 and 401,984 is: 554,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,922.36 : 851,102.32 = 401,984 : x
  2. Step 2: Convert to fraction form
    616,922.36/851,102.32 = 401,984/x
  3. Step 3: Cross multiply
    616,922.36x = 851,102.32 × 401,984
  4. Step 4: Simplify right side
    616,922.36x = 342,129,515,002.88
  5. Step 5: Solve for x
    x = 342,129,515,002.88/616,922.36
  6. Step 6: Final answer
    x = 554,574.67

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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.