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Finding the Fourth Proportional to 413,497.41, 620,262.53 and 129,378.78

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Solution

The fourth proportional to 413,497.41, 620,262.53 and 129,378.78 is: 194,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,497.41 : 620,262.53 = 129,378.78 : x
  2. Step 2: Convert to fraction form
    413,497.41/620,262.53 = 129,378.78/x
  3. Step 3: Cross multiply
    413,497.41x = 620,262.53 × 129,378.78
  4. Step 4: Simplify right side
    413,497.41x = 80,248,808,764.22
  5. Step 5: Solve for x
    x = 80,248,808,764.22/413,497.41
  6. Step 6: Final answer
    x = 194,073.30

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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.