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Finding the Fourth Proportional to 200,574.28, 300,415.90 and 143,541.96

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Solution

The fourth proportional to 200,574.28, 300,415.90 and 143,541.96 is: 214,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,574.28 : 300,415.90 = 143,541.96 : x
  2. Step 2: Convert to fraction form
    200,574.28/300,415.90 = 143,541.96/x
  3. Step 3: Cross multiply
    200,574.28x = 300,415.90 × 143,541.96
  4. Step 4: Simplify right side
    200,574.28x = 43,122,287,101.16
  5. Step 5: Solve for x
    x = 43,122,287,101.16/200,574.28
  6. Step 6: Final answer
    x = 214,994.10

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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.