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Finding the Fourth Proportional to 289,735.80, 399,834.12 and 162,411.36

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Solution

The fourth proportional to 289,735.80, 399,834.12 and 162,411.36 is: 224,126.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,735.80 : 399,834.12 = 162,411.36 : x
  2. Step 2: Convert to fraction form
    289,735.80/399,834.12 = 162,411.36/x
  3. Step 3: Cross multiply
    289,735.80x = 399,834.12 × 162,411.36
  4. Step 4: Simplify right side
    289,735.80x = 64,937,603,203.60
  5. Step 5: Solve for x
    x = 64,937,603,203.60/289,735.80
  6. Step 6: Final answer
    x = 224,126.96

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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.