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Finding the Fourth Proportional to 282,181.54, 389,421.75 and 154,861.72

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Solution

The fourth proportional to 282,181.54, 389,421.75 and 154,861.72 is: 213,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,181.54 : 389,421.75 = 154,861.72 : x
  2. Step 2: Convert to fraction form
    282,181.54/389,421.75 = 154,861.72/x
  3. Step 3: Cross multiply
    282,181.54x = 389,421.75 × 154,861.72
  4. Step 4: Simplify right side
    282,181.54x = 60,306,522,010.41
  5. Step 5: Solve for x
    x = 60,306,522,010.41/282,181.54
  6. Step 6: Final answer
    x = 213,715.33

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1.5x scale

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.