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Finding the Fourth Proportional to 200,596,310.40, 300,894,465.60 and 71,216,998.95

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Solution

The fourth proportional to 200,596,310.40, 300,894,465.60 and 71,216,998.95 is: 106,825,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,596,310.40 : 300,894,465.60 = 71,216,998.95 : x
  2. Step 2: Convert to fraction form
    200,596,310.40/300,894,465.60 = 71,216,998.95/x
  3. Step 3: Cross multiply
    200,596,310.40x = 300,894,465.60 × 71,216,998.95
  4. Step 4: Simplify right side
    200,596,310.40x = 21,428,800,840,696,012
  5. Step 5: Solve for x
    x = 21,428,800,840,696,012/200,596,310.40
  6. Step 6: Final answer
    x = 106,825,498.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.