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Finding the Fourth Proportional to 282,164.96, 389,386.50 and 154,842.68

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Solution

The fourth proportional to 282,164.96, 389,386.50 and 154,842.68 is: 213,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,164.96 : 389,386.50 = 154,842.68 : x
  2. Step 2: Convert to fraction form
    282,164.96/389,386.50 = 154,842.68/x
  3. Step 3: Cross multiply
    282,164.96x = 389,386.50 × 154,842.68
  4. Step 4: Simplify right side
    282,164.96x = 60,293,649,215.82
  5. Step 5: Solve for x
    x = 60,293,649,215.82/282,164.96
  6. Step 6: Final answer
    x = 213,682.27

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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.