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Finding the Fourth Proportional to 953,286, 1,430,125.92 and 279,389.40

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Solution

The fourth proportional to 953,286, 1,430,125.92 and 279,389.40 is: 419,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,286 : 1,430,125.92 = 279,389.40 : x
  2. Step 2: Convert to fraction form
    953,286/1,430,125.92 = 279,389.40/x
  3. Step 3: Cross multiply
    953,286x = 1,430,125.92 × 279,389.40
  4. Step 4: Simplify right side
    953,286x = 399,562,022,713.25
  5. Step 5: Solve for x
    x = 399,562,022,713.25/953,286
  6. Step 6: Final answer
    x = 419,141.81

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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.