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Finding the Fourth Proportional to 339,765.20, 509,647.80 and 319,029.20

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Solution

The fourth proportional to 339,765.20, 509,647.80 and 319,029.20 is: 478,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,765.20 : 509,647.80 = 319,029.20 : x
  2. Step 2: Convert to fraction form
    339,765.20/509,647.80 = 319,029.20/x
  3. Step 3: Cross multiply
    339,765.20x = 509,647.80 × 319,029.20
  4. Step 4: Simplify right side
    339,765.20x = 162,592,529,915.76
  5. Step 5: Solve for x
    x = 162,592,529,915.76/339,765.20
  6. Step 6: Final answer
    x = 478,543.80

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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.