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Finding the Fourth Proportional to 283,099.30, 390,632.42 and 162,217.34

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Solution

The fourth proportional to 283,099.30, 390,632.42 and 162,217.34 is: 223,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,099.30 : 390,632.42 = 162,217.34 : x
  2. Step 2: Convert to fraction form
    283,099.30/390,632.42 = 162,217.34/x
  3. Step 3: Cross multiply
    283,099.30x = 390,632.42 × 162,217.34
  4. Step 4: Simplify right side
    283,099.30x = 63,367,352,090.16
  5. Step 5: Solve for x
    x = 63,367,352,090.16/283,099.30
  6. Step 6: Final answer
    x = 223,834.37

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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.