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Finding the Fourth Proportional to 503,197,980.52, 694,404,922.56 and 294,389,497.21

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Solution

The fourth proportional to 503,197,980.52, 694,404,922.56 and 294,389,497.21 is: 406,252,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,197,980.52 : 694,404,922.56 = 294,389,497.21 : x
  2. Step 2: Convert to fraction form
    503,197,980.52/694,404,922.56 = 294,389,497.21/x
  3. Step 3: Cross multiply
    503,197,980.52x = 694,404,922.56 × 294,389,497.21
  4. Step 4: Simplify right side
    503,197,980.52x = 204,425,516,012,587,360
  5. Step 5: Solve for x
    x = 204,425,516,012,587,360/503,197,980.52
  6. Step 6: Final answer
    x = 406,252,655.87

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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.