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Finding the Fourth Proportional to 631,999.80, 947,999.70 and 419,423.40

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Solution

The fourth proportional to 631,999.80, 947,999.70 and 419,423.40 is: 629,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,999.80 : 947,999.70 = 419,423.40 : x
  2. Step 2: Convert to fraction form
    631,999.80/947,999.70 = 419,423.40/x
  3. Step 3: Cross multiply
    631,999.80x = 947,999.70 × 419,423.40
  4. Step 4: Simplify right side
    631,999.80x = 397,613,257,372.98
  5. Step 5: Solve for x
    x = 397,613,257,372.98/631,999.80
  6. Step 6: Final answer
    x = 629,135.10

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1.5x scale

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.