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Finding the Fourth Proportional to 428,409.36, 591,190.92 and 258,613.92

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Solution

The fourth proportional to 428,409.36, 591,190.92 and 258,613.92 is: 356,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,409.36 : 591,190.92 = 258,613.92 : x
  2. Step 2: Convert to fraction form
    428,409.36/591,190.92 = 258,613.92/x
  3. Step 3: Cross multiply
    428,409.36x = 591,190.92 × 258,613.92
  4. Step 4: Simplify right side
    428,409.36x = 152,890,201,289.61
  5. Step 5: Solve for x
    x = 152,890,201,289.61/428,409.36
  6. Step 6: Final answer
    x = 356,878.76

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1.5x scale

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.