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Finding the Fourth Proportional to 319,211.80, 478,817.70 and 314,546.20

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Solution

The fourth proportional to 319,211.80, 478,817.70 and 314,546.20 is: 471,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,211.80 : 478,817.70 = 314,546.20 : x
  2. Step 2: Convert to fraction form
    319,211.80/478,817.70 = 314,546.20/x
  3. Step 3: Cross multiply
    319,211.80x = 478,817.70 × 314,546.20
  4. Step 4: Simplify right side
    319,211.80x = 150,610,288,027.74
  5. Step 5: Solve for x
    x = 150,610,288,027.74/319,211.80
  6. Step 6: Final answer
    x = 471,819.30

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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.