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Finding the Fourth Proportional to 456,398.82, 629,817.12 and 252,457.92

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Solution

The fourth proportional to 456,398.82, 629,817.12 and 252,457.92 is: 348,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,398.82 : 629,817.12 = 252,457.92 : x
  2. Step 2: Convert to fraction form
    456,398.82/629,817.12 = 252,457.92/x
  3. Step 3: Cross multiply
    456,398.82x = 629,817.12 × 252,457.92
  4. Step 4: Simplify right side
    456,398.82x = 159,002,320,095.59
  5. Step 5: Solve for x
    x = 159,002,320,095.59/456,398.82
  6. Step 6: Final answer
    x = 348,384.60

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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.