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Finding the Fourth Proportional to 449,564.87, 620,427.24 and 258,574.16

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Solution

The fourth proportional to 449,564.87, 620,427.24 and 258,574.16 is: 356,848.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,564.87 : 620,427.24 = 258,574.16 : x
  2. Step 2: Convert to fraction form
    449,564.87/620,427.24 = 258,574.16/x
  3. Step 3: Cross multiply
    449,564.87x = 620,427.24 × 258,574.16
  4. Step 4: Simplify right side
    449,564.87x = 160,426,449,321.98
  5. Step 5: Solve for x
    x = 160,426,449,321.98/449,564.87
  6. Step 6: Final answer
    x = 356,848.28

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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.