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Finding the Fourth Proportional to 378,089.73, 521,956.73 and 256,225.92

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Solution

The fourth proportional to 378,089.73, 521,956.73 and 256,225.92 is: 353,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,089.73 : 521,956.73 = 256,225.92 : x
  2. Step 2: Convert to fraction form
    378,089.73/521,956.73 = 256,225.92/x
  3. Step 3: Cross multiply
    378,089.73x = 521,956.73 × 256,225.92
  4. Step 4: Simplify right side
    378,089.73x = 133,738,842,027.67
  5. Step 5: Solve for x
    x = 133,738,842,027.67/378,089.73
  6. Step 6: Final answer
    x = 353,722.49

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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.