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Finding the Fourth Proportional to 620,804, 856,709.52 and 338,180

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Solution

The fourth proportional to 620,804, 856,709.52 and 338,180 is: 466,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,804 : 856,709.52 = 338,180 : x
  2. Step 2: Convert to fraction form
    620,804/856,709.52 = 338,180/x
  3. Step 3: Cross multiply
    620,804x = 856,709.52 × 338,180
  4. Step 4: Simplify right side
    620,804x = 289,722,025,473.60
  5. Step 5: Solve for x
    x = 289,722,025,473.60/620,804
  6. Step 6: Final answer
    x = 466,688.40

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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.