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Finding the Fourth Proportional to 610,647.41, 842,141.85 and 381,225.95

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Solution

The fourth proportional to 610,647.41, 842,141.85 and 381,225.95 is: 525,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,647.41 : 842,141.85 = 381,225.95 : x
  2. Step 2: Convert to fraction form
    610,647.41/842,141.85 = 381,225.95/x
  3. Step 3: Cross multiply
    610,647.41x = 842,141.85 × 381,225.95
  4. Step 4: Simplify right side
    610,647.41x = 321,046,322,590.30
  5. Step 5: Solve for x
    x = 321,046,322,590.30/610,647.41
  6. Step 6: Final answer
    x = 525,747.46

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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.