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Finding the Fourth Proportional to 282,188.18, 389,410.90 and 154,860.50

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Solution

The fourth proportional to 282,188.18, 389,410.90 and 154,860.50 is: 213,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,188.18 : 389,410.90 = 154,860.50 : x
  2. Step 2: Convert to fraction form
    282,188.18/389,410.90 = 154,860.50/x
  3. Step 3: Cross multiply
    282,188.18x = 389,410.90 × 154,860.50
  4. Step 4: Simplify right side
    282,188.18x = 60,304,366,679.45
  5. Step 5: Solve for x
    x = 60,304,366,679.45/282,188.18
  6. Step 6: Final answer
    x = 213,702.67

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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.