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Finding the Fourth Proportional to 428,235.18, 590,697.31 and 275,472.55

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Solution

The fourth proportional to 428,235.18, 590,697.31 and 275,472.55 is: 379,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,235.18 : 590,697.31 = 275,472.55 : x
  2. Step 2: Convert to fraction form
    428,235.18/590,697.31 = 275,472.55/x
  3. Step 3: Cross multiply
    428,235.18x = 590,697.31 × 275,472.55
  4. Step 4: Simplify right side
    428,235.18x = 162,720,891,507.37
  5. Step 5: Solve for x
    x = 162,720,891,507.37/428,235.18
  6. Step 6: Final answer
    x = 379,980.21

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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.