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Finding the Fourth Proportional to 427,814.43, 590,390.89 and 234,218.90

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Solution

The fourth proportional to 427,814.43, 590,390.89 and 234,218.90 is: 323,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,814.43 : 590,390.89 = 234,218.90 : x
  2. Step 2: Convert to fraction form
    427,814.43/590,390.89 = 234,218.90/x
  3. Step 3: Cross multiply
    427,814.43x = 590,390.89 × 234,218.90
  4. Step 4: Simplify right side
    427,814.43x = 138,280,704,825.82
  5. Step 5: Solve for x
    x = 138,280,704,825.82/427,814.43
  6. Step 6: Final answer
    x = 323,225.90

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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.