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Finding the Fourth Proportional to 428,409.72, 591,221.16 and 258,611.04

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Solution

The fourth proportional to 428,409.72, 591,221.16 and 258,611.04 is: 356,892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,409.72 : 591,221.16 = 258,611.04 : x
  2. Step 2: Convert to fraction form
    428,409.72/591,221.16 = 258,611.04/x
  3. Step 3: Cross multiply
    428,409.72x = 591,221.16 × 258,611.04
  4. Step 4: Simplify right side
    428,409.72x = 152,896,319,057.61
  5. Step 5: Solve for x
    x = 152,896,319,057.61/428,409.72
  6. Step 6: Final answer
    x = 356,892.74

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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.