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Finding the Fourth Proportional to 299,559,849.40, 419,950,020.20 and 299,559,849.40

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Solution

The fourth proportional to 299,559,849.40, 419,950,020.20 and 299,559,849.40 is: 419,950,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,559,849.40 : 419,950,020.20 = 299,559,849.40 : x
  2. Step 2: Convert to fraction form
    299,559,849.40/419,950,020.20 = 299,559,849.40/x
  3. Step 3: Cross multiply
    299,559,849.40x = 419,950,020.20 × 299,559,849.40
  4. Step 4: Simplify right side
    299,559,849.40x = 125,800,164,806,638,944
  5. Step 5: Solve for x
    x = 125,800,164,806,638,944/299,559,849.40
  6. Step 6: Final answer
    x = 419,950,020.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.