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Finding the Fourth Proportional to 379,485.36, 523,684.98 and 209,715.84

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Solution

The fourth proportional to 379,485.36, 523,684.98 and 209,715.84 is: 289,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,485.36 : 523,684.98 = 209,715.84 : x
  2. Step 2: Convert to fraction form
    379,485.36/523,684.98 = 209,715.84/x
  3. Step 3: Cross multiply
    379,485.36x = 523,684.98 × 209,715.84
  4. Step 4: Simplify right side
    379,485.36x = 109,825,035,476.08
  5. Step 5: Solve for x
    x = 109,825,035,476.08/379,485.36
  6. Step 6: Final answer
    x = 289,405.20

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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.