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Finding the Fourth Proportional to 392,801.60, 589,225.79 and 122,980.28

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Solution

The fourth proportional to 392,801.60, 589,225.79 and 122,980.28 is: 184,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,801.60 : 589,225.79 = 122,980.28 : x
  2. Step 2: Convert to fraction form
    392,801.60/589,225.79 = 122,980.28/x
  3. Step 3: Cross multiply
    392,801.60x = 589,225.79 × 122,980.28
  4. Step 4: Simplify right side
    392,801.60x = 72,463,149,998.74
  5. Step 5: Solve for x
    x = 72,463,149,998.74/392,801.60
  6. Step 6: Final answer
    x = 184,477.74

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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.