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Finding the Fourth Proportional to 541,310.32, 747,009.84 and 299,609.68

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Solution

The fourth proportional to 541,310.32, 747,009.84 and 299,609.68 is: 413,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,310.32 : 747,009.84 = 299,609.68 : x
  2. Step 2: Convert to fraction form
    541,310.32/747,009.84 = 299,609.68/x
  3. Step 3: Cross multiply
    541,310.32x = 747,009.84 × 299,609.68
  4. Step 4: Simplify right side
    541,310.32x = 223,811,379,119.25
  5. Step 5: Solve for x
    x = 223,811,379,119.25/541,310.32
  6. Step 6: Final answer
    x = 413,462.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.