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Finding the Fourth Proportional to 390,142.26, 538,396.32 and 211,294.26

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Solution

The fourth proportional to 390,142.26, 538,396.32 and 211,294.26 is: 291,586.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,142.26 : 538,396.32 = 211,294.26 : x
  2. Step 2: Convert to fraction form
    390,142.26/538,396.32 = 211,294.26/x
  3. Step 3: Cross multiply
    390,142.26x = 538,396.32 × 211,294.26
  4. Step 4: Simplify right side
    390,142.26x = 113,760,052,021.12
  5. Step 5: Solve for x
    x = 113,760,052,021.12/390,142.26
  6. Step 6: Final answer
    x = 291,586.08

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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.