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Finding the Fourth Proportional to 282,495.41, 389,846.42 and 155,171.01

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Solution

The fourth proportional to 282,495.41, 389,846.42 and 155,171.01 is: 214,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,495.41 : 389,846.42 = 155,171.01 : x
  2. Step 2: Convert to fraction form
    282,495.41/389,846.42 = 155,171.01/x
  3. Step 3: Cross multiply
    282,495.41x = 389,846.42 × 155,171.01
  4. Step 4: Simplify right side
    282,495.41x = 60,492,862,935.05
  5. Step 5: Solve for x
    x = 60,492,862,935.05/282,495.41
  6. Step 6: Final answer
    x = 214,137.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.