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Finding the Fourth Proportional to 380,923.34, 525,670.67 and 208,850.87

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Solution

The fourth proportional to 380,923.34, 525,670.67 and 208,850.87 is: 288,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,923.34 : 525,670.67 = 208,850.87 : x
  2. Step 2: Convert to fraction form
    380,923.34/525,670.67 = 208,850.87/x
  3. Step 3: Cross multiply
    380,923.34x = 525,670.67 × 208,850.87
  4. Step 4: Simplify right side
    380,923.34x = 109,786,773,090.38
  5. Step 5: Solve for x
    x = 109,786,773,090.38/380,923.34
  6. Step 6: Final answer
    x = 288,212.25

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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.