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Finding the Fourth Proportional to 350,178.94, 524,477.85 and 209,640.70

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Solution

The fourth proportional to 350,178.94, 524,477.85 and 209,640.70 is: 313,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,178.94 : 524,477.85 = 209,640.70 : x
  2. Step 2: Convert to fraction form
    350,178.94/524,477.85 = 209,640.70/x
  3. Step 3: Cross multiply
    350,178.94x = 524,477.85 × 209,640.70
  4. Step 4: Simplify right side
    350,178.94x = 109,951,903,608.50
  5. Step 5: Solve for x
    x = 109,951,903,608.50/350,178.94
  6. Step 6: Final answer
    x = 313,987.77

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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.