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Finding the Fourth Proportional to 289,104.87, 398,969.44 and 158,280.34

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Solution

The fourth proportional to 289,104.87, 398,969.44 and 158,280.34 is: 218,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,104.87 : 398,969.44 = 158,280.34 : x
  2. Step 2: Convert to fraction form
    289,104.87/398,969.44 = 158,280.34/x
  3. Step 3: Cross multiply
    289,104.87x = 398,969.44 × 158,280.34
  4. Step 4: Simplify right side
    289,104.87x = 63,149,017,290.81
  5. Step 5: Solve for x
    x = 63,149,017,290.81/289,104.87
  6. Step 6: Final answer
    x = 218,429.45

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1.5x scale

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.