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Finding the Fourth Proportional to 256,759.20, 354,360.96 and 158,702.94

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Solution

The fourth proportional to 256,759.20, 354,360.96 and 158,702.94 is: 219,030.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,759.20 : 354,360.96 = 158,702.94 : x
  2. Step 2: Convert to fraction form
    256,759.20/354,360.96 = 158,702.94/x
  3. Step 3: Cross multiply
    256,759.20x = 354,360.96 × 158,702.94
  4. Step 4: Simplify right side
    256,759.20x = 56,238,126,173.22
  5. Step 5: Solve for x
    x = 56,238,126,173.22/256,759.20
  6. Step 6: Final answer
    x = 219,030.62

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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.