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Finding the Fourth Proportional to 401,578.18, 601,968.00 and 201,287.25

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Solution

The fourth proportional to 401,578.18, 601,968.00 and 201,287.25 is: 301,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,578.18 : 601,968.00 = 201,287.25 : x
  2. Step 2: Convert to fraction form
    401,578.18/601,968.00 = 201,287.25/x
  3. Step 3: Cross multiply
    401,578.18x = 601,968.00 × 201,287.25
  4. Step 4: Simplify right side
    401,578.18x = 121,168,484,062.83
  5. Step 5: Solve for x
    x = 121,168,484,062.83/401,578.18
  6. Step 6: Final answer
    x = 301,730.75

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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.