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Finding the Fourth Proportional to 319,902.80, 478,847.92 and 219,475.76

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Solution

The fourth proportional to 319,902.80, 478,847.92 and 219,475.76 is: 328,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,902.80 : 478,847.92 = 219,475.76 : x
  2. Step 2: Convert to fraction form
    319,902.80/478,847.92 = 219,475.76/x
  3. Step 3: Cross multiply
    319,902.80x = 478,847.92 × 219,475.76
  4. Step 4: Simplify right side
    319,902.80x = 105,095,511,166.42
  5. Step 5: Solve for x
    x = 105,095,511,166.42/319,902.80
  6. Step 6: Final answer
    x = 328,523.26

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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.