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Finding the Fourth Proportional to 282,466.71, 389,800.42 and 155,134.10

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Solution

The fourth proportional to 282,466.71, 389,800.42 and 155,134.10 is: 214,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,466.71 : 389,800.42 = 155,134.10 : x
  2. Step 2: Convert to fraction form
    282,466.71/389,800.42 = 155,134.10/x
  3. Step 3: Cross multiply
    282,466.71x = 389,800.42 × 155,134.10
  4. Step 4: Simplify right side
    282,466.71x = 60,471,337,922.99
  5. Step 5: Solve for x
    x = 60,471,337,922.99/282,466.71
  6. Step 6: Final answer
    x = 214,083.06

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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.