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Finding the Fourth Proportional to 378,499.91, 522,312.30 and 217,241.46

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Solution

The fourth proportional to 378,499.91, 522,312.30 and 217,241.46 is: 299,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,499.91 : 522,312.30 = 217,241.46 : x
  2. Step 2: Convert to fraction form
    378,499.91/522,312.30 = 217,241.46/x
  3. Step 3: Cross multiply
    378,499.91x = 522,312.30 × 217,241.46
  4. Step 4: Simplify right side
    378,499.91x = 113,467,886,627.96
  5. Step 5: Solve for x
    x = 113,467,886,627.96/378,499.91
  6. Step 6: Final answer
    x = 299,783.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.