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Finding the Fourth Proportional to 282,468.62, 389,808.51 and 155,143.10

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Solution

The fourth proportional to 282,468.62, 389,808.51 and 155,143.10 is: 214,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,468.62 : 389,808.51 = 155,143.10 : x
  2. Step 2: Convert to fraction form
    282,468.62/389,808.51 = 155,143.10/x
  3. Step 3: Cross multiply
    282,468.62x = 389,808.51 × 155,143.10
  4. Step 4: Simplify right side
    282,468.62x = 60,476,100,647.78
  5. Step 5: Solve for x
    x = 60,476,100,647.78/282,468.62
  6. Step 6: Final answer
    x = 214,098.47

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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.