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Finding the Fourth Proportional to 428,080.81, 590,755.85 and 258,282.13

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Solution

The fourth proportional to 428,080.81, 590,755.85 and 258,282.13 is: 356,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,080.81 : 590,755.85 = 258,282.13 : x
  2. Step 2: Convert to fraction form
    428,080.81/590,755.85 = 258,282.13/x
  3. Step 3: Cross multiply
    428,080.81x = 590,755.85 × 258,282.13
  4. Step 4: Simplify right side
    428,080.81x = 152,581,676,939.89
  5. Step 5: Solve for x
    x = 152,581,676,939.89/428,080.81
  6. Step 6: Final answer
    x = 356,431.95

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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.