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Finding the Fourth Proportional to 380,953.96, 525,722.38 and 208,887.64

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Solution

The fourth proportional to 380,953.96, 525,722.38 and 208,887.64 is: 288,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,953.96 : 525,722.38 = 208,887.64 : x
  2. Step 2: Convert to fraction form
    380,953.96/525,722.38 = 208,887.64/x
  3. Step 3: Cross multiply
    380,953.96x = 525,722.38 × 208,887.64
  4. Step 4: Simplify right side
    380,953.96x = 109,816,907,253.38
  5. Step 5: Solve for x
    x = 109,816,907,253.38/380,953.96
  6. Step 6: Final answer
    x = 288,268.19

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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.