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Finding the Fourth Proportional to 449,509.64, 620,342.19 and 258,523.22

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Solution

The fourth proportional to 449,509.64, 620,342.19 and 258,523.22 is: 356,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,509.64 : 620,342.19 = 258,523.22 : x
  2. Step 2: Convert to fraction form
    449,509.64/620,342.19 = 258,523.22/x
  3. Step 3: Cross multiply
    449,509.64x = 620,342.19 × 258,523.22
  4. Step 4: Simplify right side
    449,509.64x = 160,372,860,460.65
  5. Step 5: Solve for x
    x = 160,372,860,460.65/449,509.64
  6. Step 6: Final answer
    x = 356,772.91

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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.