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Finding the Fourth Proportional to 392,298.75, 588,535.61 and 142,980.75

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Solution

The fourth proportional to 392,298.75, 588,535.61 and 142,980.75 is: 214,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,298.75 : 588,535.61 = 142,980.75 : x
  2. Step 2: Convert to fraction form
    392,298.75/588,535.61 = 142,980.75/x
  3. Step 3: Cross multiply
    392,298.75x = 588,535.61 × 142,980.75
  4. Step 4: Simplify right side
    392,298.75x = 84,149,262,204.60
  5. Step 5: Solve for x
    x = 84,149,262,204.60/392,298.75
  6. Step 6: Final answer
    x = 214,503.01

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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.