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Finding the Fourth Proportional to 319,097.70, 478,063.35 and 259,611.30

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Solution

The fourth proportional to 319,097.70, 478,063.35 and 259,611.30 is: 388,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,097.70 : 478,063.35 = 259,611.30 : x
  2. Step 2: Convert to fraction form
    319,097.70/478,063.35 = 259,611.30/x
  3. Step 3: Cross multiply
    319,097.70x = 478,063.35 × 259,611.30
  4. Step 4: Simplify right side
    319,097.70x = 124,110,647,775.86
  5. Step 5: Solve for x
    x = 124,110,647,775.86/319,097.70
  6. Step 6: Final answer
    x = 388,942.47

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1.5x scale

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.