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Finding the Fourth Proportional to 288,000, 397,440 and 168,768

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Solution

The fourth proportional to 288,000, 397,440 and 168,768 is: 232,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,000 : 397,440 = 168,768 : x
  2. Step 2: Convert to fraction form
    288,000/397,440 = 168,768/x
  3. Step 3: Cross multiply
    288,000x = 397,440 × 168,768
  4. Step 4: Simplify right side
    288,000x = 67,075,153,920
  5. Step 5: Solve for x
    x = 67,075,153,920/288,000
  6. Step 6: Final answer
    x = 232,899.84

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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.