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Finding the Fourth Proportional to 322,798,071.24, 445,598,789.42 and 217,012,838.10

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Solution

The fourth proportional to 322,798,071.24, 445,598,789.42 and 217,012,838.10 is: 299,570,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,798,071.24 : 445,598,789.42 = 217,012,838.10 : x
  2. Step 2: Convert to fraction form
    322,798,071.24/445,598,789.42 = 217,012,838.10/x
  3. Step 3: Cross multiply
    322,798,071.24x = 445,598,789.42 × 217,012,838.10
  4. Step 4: Simplify right side
    322,798,071.24x = 96,700,657,944,873,392
  5. Step 5: Solve for x
    x = 96,700,657,944,873,392/322,798,071.24
  6. Step 6: Final answer
    x = 299,570,123.12

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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.