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Finding the Fourth Proportional to 428,077.68, 590,751.54 and 258,279

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Solution

The fourth proportional to 428,077.68, 590,751.54 and 258,279 is: 356,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,077.68 : 590,751.54 = 258,279 : x
  2. Step 2: Convert to fraction form
    428,077.68/590,751.54 = 258,279/x
  3. Step 3: Cross multiply
    428,077.68x = 590,751.54 × 258,279
  4. Step 4: Simplify right side
    428,077.68x = 152,578,716,999.66
  5. Step 5: Solve for x
    x = 152,578,716,999.66/428,077.68
  6. Step 6: Final answer
    x = 356,427.64

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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.