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Finding the Fourth Proportional to 702,083.55, 968,821.95 and 396,188.38

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Solution

The fourth proportional to 702,083.55, 968,821.95 and 396,188.38 is: 546,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,083.55 : 968,821.95 = 396,188.38 : x
  2. Step 2: Convert to fraction form
    702,083.55/968,821.95 = 396,188.38/x
  3. Step 3: Cross multiply
    702,083.55x = 968,821.95 × 396,188.38
  4. Step 4: Simplify right side
    702,083.55x = 383,835,995,677.74
  5. Step 5: Solve for x
    x = 383,835,995,677.74/702,083.55
  6. Step 6: Final answer
    x = 546,709.85

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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.