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Finding the Fourth Proportional to 257,027.34, 354,063.96 and 218,664.02

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Solution

The fourth proportional to 257,027.34, 354,063.96 and 218,664.02 is: 301,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,027.34 : 354,063.96 = 218,664.02 : x
  2. Step 2: Convert to fraction form
    257,027.34/354,063.96 = 218,664.02/x
  3. Step 3: Cross multiply
    257,027.34x = 354,063.96 × 218,664.02
  4. Step 4: Simplify right side
    257,027.34x = 77,421,049,715.88
  5. Step 5: Solve for x
    x = 77,421,049,715.88/257,027.34
  6. Step 6: Final answer
    x = 301,217.17

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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.