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Finding the Fourth Proportional to 404,313,113.80, 606,867,801.90 and 200,071,808.20

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Solution

The fourth proportional to 404,313,113.80, 606,867,801.90 and 200,071,808.20 is: 300,304,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,313,113.80 : 606,867,801.90 = 200,071,808.20 : x
  2. Step 2: Convert to fraction form
    404,313,113.80/606,867,801.90 = 200,071,808.20/x
  3. Step 3: Cross multiply
    404,313,113.80x = 606,867,801.90 × 200,071,808.20
  4. Step 4: Simplify right side
    404,313,113.80x = 121,417,138,464,492,384
  5. Step 5: Solve for x
    x = 121,417,138,464,492,384/404,313,113.80
  6. Step 6: Final answer
    x = 300,304,725.03

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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.