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Finding the Fourth Proportional to 518,984.89, 778,784.78 and 219,449.05

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Solution

The fourth proportional to 518,984.89, 778,784.78 and 219,449.05 is: 329,303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,984.89 : 778,784.78 = 219,449.05 : x
  2. Step 2: Convert to fraction form
    518,984.89/778,784.78 = 219,449.05/x
  3. Step 3: Cross multiply
    518,984.89x = 778,784.78 × 219,449.05
  4. Step 4: Simplify right side
    518,984.89x = 170,903,579,028.21
  5. Step 5: Solve for x
    x = 170,903,579,028.21/518,984.89
  6. Step 6: Final answer
    x = 329,303.57

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Double scale
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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.