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Finding the Fourth Proportional to 476,978.40, 658,240.61 and 262,122.06

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Solution

The fourth proportional to 476,978.40, 658,240.61 and 262,122.06 is: 361,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,978.40 : 658,240.61 = 262,122.06 : x
  2. Step 2: Convert to fraction form
    476,978.40/658,240.61 = 262,122.06/x
  3. Step 3: Cross multiply
    476,978.40x = 658,240.61 × 262,122.06
  4. Step 4: Simplify right side
    476,978.40x = 172,539,383,358.25
  5. Step 5: Solve for x
    x = 172,539,383,358.25/476,978.40
  6. Step 6: Final answer
    x = 361,734.17

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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.