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Finding the Fourth Proportional to 380,854.28, 525,523.56 and 211,088

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Solution

The fourth proportional to 380,854.28, 525,523.56 and 211,088 is: 291,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,854.28 : 525,523.56 = 211,088 : x
  2. Step 2: Convert to fraction form
    380,854.28/525,523.56 = 211,088/x
  3. Step 3: Cross multiply
    380,854.28x = 525,523.56 × 211,088
  4. Step 4: Simplify right side
    380,854.28x = 110,931,717,233.28
  5. Step 5: Solve for x
    x = 110,931,717,233.28/380,854.28
  6. Step 6: Final answer
    x = 291,270.76

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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.