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Finding the Fourth Proportional to 427,903.84, 590,505.22 and 231,670.42

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Solution

The fourth proportional to 427,903.84, 590,505.22 and 231,670.42 is: 319,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,903.84 : 590,505.22 = 231,670.42 : x
  2. Step 2: Convert to fraction form
    427,903.84/590,505.22 = 231,670.42/x
  3. Step 3: Cross multiply
    427,903.84x = 590,505.22 × 231,670.42
  4. Step 4: Simplify right side
    427,903.84x = 136,802,592,329.59
  5. Step 5: Solve for x
    x = 136,802,592,329.59/427,903.84
  6. Step 6: Final answer
    x = 319,704.05

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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.