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Finding the Fourth Proportional to 282,990.54, 390,555.57 and 162,147.87

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Solution

The fourth proportional to 282,990.54, 390,555.57 and 162,147.87 is: 223,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,990.54 : 390,555.57 = 162,147.87 : x
  2. Step 2: Convert to fraction form
    282,990.54/390,555.57 = 162,147.87/x
  3. Step 3: Cross multiply
    282,990.54x = 390,555.57 × 162,147.87
  4. Step 4: Simplify right side
    282,990.54x = 63,327,753,792.14
  5. Step 5: Solve for x
    x = 63,327,753,792.14/282,990.54
  6. Step 6: Final answer
    x = 223,780.46

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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.