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Finding the Fourth Proportional to 953,290, 1,430,131.92 and 279,393.40

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Solution

The fourth proportional to 953,290, 1,430,131.92 and 279,393.40 is: 419,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,290 : 1,430,131.92 = 279,393.40 : x
  2. Step 2: Convert to fraction form
    953,290/1,430,131.92 = 279,393.40/x
  3. Step 3: Cross multiply
    953,290x = 1,430,131.92 × 279,393.40
  4. Step 4: Simplify right side
    953,290x = 399,569,419,577.33
  5. Step 5: Solve for x
    x = 399,569,419,577.33/953,290
  6. Step 6: Final answer
    x = 419,147.81

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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.