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Finding the Fourth Proportional to 401,980.80, 602,971.20 and 192,028.80

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Solution

The fourth proportional to 401,980.80, 602,971.20 and 192,028.80 is: 288,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,980.80 : 602,971.20 = 192,028.80 : x
  2. Step 2: Convert to fraction form
    401,980.80/602,971.20 = 192,028.80/x
  3. Step 3: Cross multiply
    401,980.80x = 602,971.20 × 192,028.80
  4. Step 4: Simplify right side
    401,980.80x = 115,787,835,970.56
  5. Step 5: Solve for x
    x = 115,787,835,970.56/401,980.80
  6. Step 6: Final answer
    x = 288,043.20

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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.