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Finding the Fourth Proportional to 401,980.87, 602,984.85 and 202,192.33

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Solution

The fourth proportional to 401,980.87, 602,984.85 and 202,192.33 is: 303,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,980.87 : 602,984.85 = 202,192.33 : x
  2. Step 2: Convert to fraction form
    401,980.87/602,984.85 = 202,192.33/x
  3. Step 3: Cross multiply
    401,980.87x = 602,984.85 × 202,192.33
  4. Step 4: Simplify right side
    401,980.87x = 121,918,911,776.20
  5. Step 5: Solve for x
    x = 121,918,911,776.20/401,980.87
  6. Step 6: Final answer
    x = 303,295.31

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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.