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Finding the Fourth Proportional to 397,178.60, 548,109.74 and 215,890.48

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Solution

The fourth proportional to 397,178.60, 548,109.74 and 215,890.48 is: 297,930.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,178.60 : 548,109.74 = 215,890.48 : x
  2. Step 2: Convert to fraction form
    397,178.60/548,109.74 = 215,890.48/x
  3. Step 3: Cross multiply
    397,178.60x = 548,109.74 × 215,890.48
  4. Step 4: Simplify right side
    397,178.60x = 118,331,671,041.27
  5. Step 5: Solve for x
    x = 118,331,671,041.27/397,178.60
  6. Step 6: Final answer
    x = 297,930.63

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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.