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Finding the Fourth Proportional to 282,818.69, 390,266.57 and 166,513.67

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Solution

The fourth proportional to 282,818.69, 390,266.57 and 166,513.67 is: 229,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,818.69 : 390,266.57 = 166,513.67 : x
  2. Step 2: Convert to fraction form
    282,818.69/390,266.57 = 166,513.67/x
  3. Step 3: Cross multiply
    282,818.69x = 390,266.57 × 166,513.67
  4. Step 4: Simplify right side
    282,818.69x = 64,984,718,016.44
  5. Step 5: Solve for x
    x = 64,984,718,016.44/282,818.69
  6. Step 6: Final answer
    x = 229,775.19

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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.