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Finding the Fourth Proportional to 512,213.60, 768,320.40 and 326,050.40

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Solution

The fourth proportional to 512,213.60, 768,320.40 and 326,050.40 is: 489,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,213.60 : 768,320.40 = 326,050.40 : x
  2. Step 2: Convert to fraction form
    512,213.60/768,320.40 = 326,050.40/x
  3. Step 3: Cross multiply
    512,213.60x = 768,320.40 × 326,050.40
  4. Step 4: Simplify right side
    512,213.60x = 250,511,173,748.16
  5. Step 5: Solve for x
    x = 250,511,173,748.16/512,213.60
  6. Step 6: Final answer
    x = 489,075.60

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1.5x scale

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.