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Finding the Fourth Proportional to 282,991.54, 390,556.94 and 162,148.86

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Solution

The fourth proportional to 282,991.54, 390,556.94 and 162,148.86 is: 223,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,991.54 : 390,556.94 = 162,148.86 : x
  2. Step 2: Convert to fraction form
    282,991.54/390,556.94 = 162,148.86/x
  3. Step 3: Cross multiply
    282,991.54x = 390,556.94 × 162,148.86
  4. Step 4: Simplify right side
    282,991.54x = 63,328,362,586.09
  5. Step 5: Solve for x
    x = 63,328,362,586.09/282,991.54
  6. Step 6: Final answer
    x = 223,781.82

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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.