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Finding the Fourth Proportional to 282,991.36, 390,536.32 and 162,144

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Solution

The fourth proportional to 282,991.36, 390,536.32 and 162,144 is: 223,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,991.36 : 390,536.32 = 162,144 : x
  2. Step 2: Convert to fraction form
    282,991.36/390,536.32 = 162,144/x
  3. Step 3: Cross multiply
    282,991.36x = 390,536.32 × 162,144
  4. Step 4: Simplify right side
    282,991.36x = 63,323,121,070.08
  5. Step 5: Solve for x
    x = 63,323,121,070.08/282,991.36
  6. Step 6: Final answer
    x = 223,763.44

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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.