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Finding the Fourth Proportional to 401,124.30, 601,540.65 and 201,378.30

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Solution

The fourth proportional to 401,124.30, 601,540.65 and 201,378.30 is: 301,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,124.30 : 601,540.65 = 201,378.30 : x
  2. Step 2: Convert to fraction form
    401,124.30/601,540.65 = 201,378.30/x
  3. Step 3: Cross multiply
    401,124.30x = 601,540.65 × 201,378.30
  4. Step 4: Simplify right side
    401,124.30x = 121,137,233,477.90
  5. Step 5: Solve for x
    x = 121,137,233,477.90/401,124.30
  6. Step 6: Final answer
    x = 301,994.25

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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.