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Finding the Fourth Proportional to 319,403.70, 478,522.35 and 259,917.30

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Solution

The fourth proportional to 319,403.70, 478,522.35 and 259,917.30 is: 389,401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,403.70 : 478,522.35 = 259,917.30 : x
  2. Step 2: Convert to fraction form
    319,403.70/478,522.35 = 259,917.30/x
  3. Step 3: Cross multiply
    319,403.70x = 478,522.35 × 259,917.30
  4. Step 4: Simplify right side
    319,403.70x = 124,376,237,201.66
  5. Step 5: Solve for x
    x = 124,376,237,201.66/319,403.70
  6. Step 6: Final answer
    x = 389,401.37

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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.