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Finding the Fourth Proportional to 449,560.64, 620,368.80 and 258,577.24

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Solution

The fourth proportional to 449,560.64, 620,368.80 and 258,577.24 is: 356,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,560.64 : 620,368.80 = 258,577.24 : x
  2. Step 2: Convert to fraction form
    449,560.64/620,368.80 = 258,577.24/x
  3. Step 3: Cross multiply
    449,560.64x = 620,368.80 × 258,577.24
  4. Step 4: Simplify right side
    449,560.64x = 160,413,252,086.11
  5. Step 5: Solve for x
    x = 160,413,252,086.11/449,560.64
  6. Step 6: Final answer
    x = 356,822.28

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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.