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Finding the Fourth Proportional to 428,072.68, 590,744.64 and 258,274

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Solution

The fourth proportional to 428,072.68, 590,744.64 and 258,274 is: 356,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,072.68 : 590,744.64 = 258,274 : x
  2. Step 2: Convert to fraction form
    428,072.68/590,744.64 = 258,274/x
  3. Step 3: Cross multiply
    428,072.68x = 590,744.64 × 258,274
  4. Step 4: Simplify right side
    428,072.68x = 152,573,981,151.36
  5. Step 5: Solve for x
    x = 152,573,981,151.36/428,072.68
  6. Step 6: Final answer
    x = 356,420.74

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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.