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Finding the Fourth Proportional to 289,792.80, 399,913.20 and 162,467.28

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Solution

The fourth proportional to 289,792.80, 399,913.20 and 162,467.28 is: 224,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,792.80 : 399,913.20 = 162,467.28 : x
  2. Step 2: Convert to fraction form
    289,792.80/399,913.20 = 162,467.28/x
  3. Step 3: Cross multiply
    289,792.80x = 399,913.20 × 162,467.28
  4. Step 4: Simplify right side
    289,792.80x = 64,972,809,840.10
  5. Step 5: Solve for x
    x = 64,972,809,840.10/289,792.80
  6. Step 6: Final answer
    x = 224,204.36

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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.