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Finding the Fourth Proportional to 510,219.84, 765,298.77 and 190,310.04

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Solution

The fourth proportional to 510,219.84, 765,298.77 and 190,310.04 is: 285,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,219.84 : 765,298.77 = 190,310.04 : x
  2. Step 2: Convert to fraction form
    510,219.84/765,298.77 = 190,310.04/x
  3. Step 3: Cross multiply
    510,219.84x = 765,298.77 × 190,310.04
  4. Step 4: Simplify right side
    510,219.84x = 145,644,039,530.65
  5. Step 5: Solve for x
    x = 145,644,039,530.65/510,219.84
  6. Step 6: Final answer
    x = 285,453.50

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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.