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Finding the Fourth Proportional to 449,596, 620,460.30 and 258,609.16

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Solution

The fourth proportional to 449,596, 620,460.30 and 258,609.16 is: 356,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,596 : 620,460.30 = 258,609.16 : x
  2. Step 2: Convert to fraction form
    449,596/620,460.30 = 258,609.16/x
  3. Step 3: Cross multiply
    449,596x = 620,460.30 × 258,609.16
  4. Step 4: Simplify right side
    449,596x = 160,456,716,996.35
  5. Step 5: Solve for x
    x = 160,456,716,996.35/449,596
  6. Step 6: Final answer
    x = 356,890.89

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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.