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Finding the Fourth Proportional to 282,016.70, 422,803.17 and 139,764.18

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Solution

The fourth proportional to 282,016.70, 422,803.17 and 139,764.18 is: 209,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,016.70 : 422,803.17 = 139,764.18 : x
  2. Step 2: Convert to fraction form
    282,016.70/422,803.17 = 139,764.18/x
  3. Step 3: Cross multiply
    282,016.70x = 422,803.17 × 139,764.18
  4. Step 4: Simplify right side
    282,016.70x = 59,092,738,356.45
  5. Step 5: Solve for x
    x = 59,092,738,356.45/282,016.70
  6. Step 6: Final answer
    x = 209,536.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.