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Finding the Fourth Proportional to 449,284.16, 620,044.80 and 258,357.44

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Solution

The fourth proportional to 449,284.16, 620,044.80 and 258,357.44 is: 356,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,284.16 : 620,044.80 = 258,357.44 : x
  2. Step 2: Convert to fraction form
    449,284.16/620,044.80 = 258,357.44/x
  3. Step 3: Cross multiply
    449,284.16x = 620,044.80 × 258,357.44
  4. Step 4: Simplify right side
    449,284.16x = 160,193,187,213.31
  5. Step 5: Solve for x
    x = 160,193,187,213.31/449,284.16
  6. Step 6: Final answer
    x = 356,552.05

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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.