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Finding the Fourth Proportional to 367,945.20, 507,751.07 and 206,809.07

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Solution

The fourth proportional to 367,945.20, 507,751.07 and 206,809.07 is: 285,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,945.20 : 507,751.07 = 206,809.07 : x
  2. Step 2: Convert to fraction form
    367,945.20/507,751.07 = 206,809.07/x
  3. Step 3: Cross multiply
    367,945.20x = 507,751.07 × 206,809.07
  4. Step 4: Simplify right side
    367,945.20x = 105,007,523,005.40
  5. Step 5: Solve for x
    x = 105,007,523,005.40/367,945.20
  6. Step 6: Final answer
    x = 285,389.03

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1.5x scale

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.