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Finding the Fourth Proportional to 319,829.49, 478,560.42 and 256,455.90

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Solution

The fourth proportional to 319,829.49, 478,560.42 and 256,455.90 is: 383,734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,829.49 : 478,560.42 = 256,455.90 : x
  2. Step 2: Convert to fraction form
    319,829.49/478,560.42 = 256,455.90/x
  3. Step 3: Cross multiply
    319,829.49x = 478,560.42 × 256,455.90
  4. Step 4: Simplify right side
    319,829.49x = 122,729,643,215.48
  5. Step 5: Solve for x
    x = 122,729,643,215.48/319,829.49
  6. Step 6: Final answer
    x = 383,734.61

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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.