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Finding the Fourth Proportional to 385,523.64, 532,004.49 and 211,090.68

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Solution

The fourth proportional to 385,523.64, 532,004.49 and 211,090.68 is: 291,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,523.64 : 532,004.49 = 211,090.68 : x
  2. Step 2: Convert to fraction form
    385,523.64/532,004.49 = 211,090.68/x
  3. Step 3: Cross multiply
    385,523.64x = 532,004.49 × 211,090.68
  4. Step 4: Simplify right side
    385,523.64x = 112,301,189,557.15
  5. Step 5: Solve for x
    x = 112,301,189,557.15/385,523.64
  6. Step 6: Final answer
    x = 291,295.21

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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.