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Finding the Fourth Proportional to 389,918.40, 538,082.40 and 211,070.40

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Solution

The fourth proportional to 389,918.40, 538,082.40 and 211,070.40 is: 291,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,918.40 : 538,082.40 = 211,070.40 : x
  2. Step 2: Convert to fraction form
    389,918.40/538,082.40 = 211,070.40/x
  3. Step 3: Cross multiply
    389,918.40x = 538,082.40 × 211,070.40
  4. Step 4: Simplify right side
    389,918.40x = 113,573,267,400.96
  5. Step 5: Solve for x
    x = 113,573,267,400.96/389,918.40
  6. Step 6: Final answer
    x = 291,274.45

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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.