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Finding the Fourth Proportional to 282,136, 389,347.74 and 161,279.96

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Solution

The fourth proportional to 282,136, 389,347.74 and 161,279.96 is: 222,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,136 : 389,347.74 = 161,279.96 : x
  2. Step 2: Convert to fraction form
    282,136/389,347.74 = 161,279.96/x
  3. Step 3: Cross multiply
    282,136x = 389,347.74 × 161,279.96
  4. Step 4: Simplify right side
    282,136x = 62,793,987,933.29
  5. Step 5: Solve for x
    x = 62,793,987,933.29/282,136
  6. Step 6: Final answer
    x = 222,566.38

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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.