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Finding the Fourth Proportional to 309,759.86, 427,720.70 and 252,407.82

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Solution

The fourth proportional to 309,759.86, 427,720.70 and 252,407.82 is: 348,528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,759.86 : 427,720.70 = 252,407.82 : x
  2. Step 2: Convert to fraction form
    309,759.86/427,720.70 = 252,407.82/x
  3. Step 3: Cross multiply
    309,759.86x = 427,720.70 × 252,407.82
  4. Step 4: Simplify right side
    309,759.86x = 107,960,049,455.87
  5. Step 5: Solve for x
    x = 107,960,049,455.87/309,759.86
  6. Step 6: Final answer
    x = 348,528.21

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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.