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Finding the Fourth Proportional to 319,123.20, 478,101.60 and 259,636.80

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Solution

The fourth proportional to 319,123.20, 478,101.60 and 259,636.80 is: 388,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,123.20 : 478,101.60 = 259,636.80 : x
  2. Step 2: Convert to fraction form
    319,123.20/478,101.60 = 259,636.80/x
  3. Step 3: Cross multiply
    319,123.20x = 478,101.60 × 259,636.80
  4. Step 4: Simplify right side
    319,123.20x = 124,132,769,498.88
  5. Step 5: Solve for x
    x = 124,132,769,498.88/319,123.20
  6. Step 6: Final answer
    x = 388,980.71

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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.