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Finding the Fourth Proportional to 401,029.90, 601,544.85 and 259,312.30

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Solution

The fourth proportional to 401,029.90, 601,544.85 and 259,312.30 is: 388,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,029.90 : 601,544.85 = 259,312.30 : x
  2. Step 2: Convert to fraction form
    401,029.90/601,544.85 = 259,312.30/x
  3. Step 3: Cross multiply
    401,029.90x = 601,544.85 × 259,312.30
  4. Step 4: Simplify right side
    401,029.90x = 155,987,978,606.66
  5. Step 5: Solve for x
    x = 155,987,978,606.66/401,029.90
  6. Step 6: Final answer
    x = 388,968.45

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Similar ratio
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1.5x scale

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.