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Finding the Fourth Proportional to 682,610, 942,002.21 and 380,804

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Solution

The fourth proportional to 682,610, 942,002.21 and 380,804 is: 525,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,610 : 942,002.21 = 380,804 : x
  2. Step 2: Convert to fraction form
    682,610/942,002.21 = 380,804/x
  3. Step 3: Cross multiply
    682,610x = 942,002.21 × 380,804
  4. Step 4: Simplify right side
    682,610x = 358,718,207,672.82
  5. Step 5: Solve for x
    x = 358,718,207,672.82/682,610
  6. Step 6: Final answer
    x = 525,509.75

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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.