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Finding the Fourth Proportional to 463,673,958.40, 695,510,937.60 and 428,638,412.80

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Solution

The fourth proportional to 463,673,958.40, 695,510,937.60 and 428,638,412.80 is: 642,957,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,673,958.40 : 695,510,937.60 = 428,638,412.80 : x
  2. Step 2: Convert to fraction form
    463,673,958.40/695,510,937.60 = 428,638,412.80/x
  3. Step 3: Cross multiply
    463,673,958.40x = 695,510,937.60 × 428,638,412.80
  4. Step 4: Simplify right side
    463,673,958.40x = 298,122,704,377,903,872
  5. Step 5: Solve for x
    x = 298,122,704,377,903,872/463,673,958.40
  6. Step 6: Final answer
    x = 642,957,619.20

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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.