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Finding the Fourth Proportional to 367,685.80, 507,378.74 and 206,509.37

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Solution

The fourth proportional to 367,685.80, 507,378.74 and 206,509.37 is: 284,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,685.80 : 507,378.74 = 206,509.37 : x
  2. Step 2: Convert to fraction form
    367,685.80/507,378.74 = 206,509.37/x
  3. Step 3: Cross multiply
    367,685.80x = 507,378.74 × 206,509.37
  4. Step 4: Simplify right side
    367,685.80x = 104,778,460,379.35
  5. Step 5: Solve for x
    x = 104,778,460,379.35/367,685.80
  6. Step 6: Final answer
    x = 284,967.39

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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.