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Finding the Fourth Proportional to 437,648.80, 656,732.40 and 319,021.60

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Solution

The fourth proportional to 437,648.80, 656,732.40 and 319,021.60 is: 478,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,648.80 : 656,732.40 = 319,021.60 : x
  2. Step 2: Convert to fraction form
    437,648.80/656,732.40 = 319,021.60/x
  3. Step 3: Cross multiply
    437,648.80x = 656,732.40 × 319,021.60
  4. Step 4: Simplify right side
    437,648.80x = 209,511,821,019.84
  5. Step 5: Solve for x
    x = 209,511,821,019.84/437,648.80
  6. Step 6: Final answer
    x = 478,721.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.