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Finding the Fourth Proportional to 449,558.40, 620,365.68 and 258,574.98

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Solution

The fourth proportional to 449,558.40, 620,365.68 and 258,574.98 is: 356,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,558.40 : 620,365.68 = 258,574.98 : x
  2. Step 2: Convert to fraction form
    449,558.40/620,365.68 = 258,574.98/x
  3. Step 3: Cross multiply
    449,558.40x = 620,365.68 × 258,574.98
  4. Step 4: Simplify right side
    449,558.40x = 160,411,043,298.69
  5. Step 5: Solve for x
    x = 160,411,043,298.69/449,558.40
  6. Step 6: Final answer
    x = 356,819.14

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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.