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Finding the Fourth Proportional to 319,143.58, 478,713.93 and 82,466.14

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Solution

The fourth proportional to 319,143.58, 478,713.93 and 82,466.14 is: 123,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,143.58 : 478,713.93 = 82,466.14 : x
  2. Step 2: Convert to fraction form
    319,143.58/478,713.93 = 82,466.14/x
  3. Step 3: Cross multiply
    319,143.58x = 478,713.93 × 82,466.14
  4. Step 4: Simplify right side
    319,143.58x = 39,477,689,971.33
  5. Step 5: Solve for x
    x = 39,477,689,971.33/319,143.58
  6. Step 6: Final answer
    x = 123,698.84

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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.