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Finding the Fourth Proportional to 318,274.68, 477,314.40 and 105,003.24

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Solution

The fourth proportional to 318,274.68, 477,314.40 and 105,003.24 is: 157,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,274.68 : 477,314.40 = 105,003.24 : x
  2. Step 2: Convert to fraction form
    318,274.68/477,314.40 = 105,003.24/x
  3. Step 3: Cross multiply
    318,274.68x = 477,314.40 × 105,003.24
  4. Step 4: Simplify right side
    318,274.68x = 50,119,558,498.66
  5. Step 5: Solve for x
    x = 50,119,558,498.66/318,274.68
  6. Step 6: Final answer
    x = 157,472.65

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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.