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Finding the Fourth Proportional to 257,920.92, 387,285.84 and 218,457.18

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Solution

The fourth proportional to 257,920.92, 387,285.84 and 218,457.18 is: 328,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,920.92 : 387,285.84 = 218,457.18 : x
  2. Step 2: Convert to fraction form
    257,920.92/387,285.84 = 218,457.18/x
  3. Step 3: Cross multiply
    257,920.92x = 387,285.84 × 218,457.18
  4. Step 4: Simplify right side
    257,920.92x = 84,605,372,460.33
  5. Step 5: Solve for x
    x = 84,605,372,460.33/257,920.92
  6. Step 6: Final answer
    x = 328,028.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.