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Finding the Fourth Proportional to 419,085.60, 628,628.40 and 166,426.35

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Solution

The fourth proportional to 419,085.60, 628,628.40 and 166,426.35 is: 249,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,085.60 : 628,628.40 = 166,426.35 : x
  2. Step 2: Convert to fraction form
    419,085.60/628,628.40 = 166,426.35/x
  3. Step 3: Cross multiply
    419,085.60x = 628,628.40 × 166,426.35
  4. Step 4: Simplify right side
    419,085.60x = 104,620,330,118.34
  5. Step 5: Solve for x
    x = 104,620,330,118.34/419,085.60
  6. Step 6: Final answer
    x = 249,639.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.