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Finding the Fourth Proportional to 523,004.30, 784,640.10 and 168,021.80

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Solution

The fourth proportional to 523,004.30, 784,640.10 and 168,021.80 is: 252,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,004.30 : 784,640.10 = 168,021.80 : x
  2. Step 2: Convert to fraction form
    523,004.30/784,640.10 = 168,021.80/x
  3. Step 3: Cross multiply
    523,004.30x = 784,640.10 × 168,021.80
  4. Step 4: Simplify right side
    523,004.30x = 131,836,641,954.18
  5. Step 5: Solve for x
    x = 131,836,641,954.18/523,004.30
  6. Step 6: Final answer
    x = 252,075.64

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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.