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Finding the Fourth Proportional to 256,038.44, 353,234.50 and 160,378.60

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Solution

The fourth proportional to 256,038.44, 353,234.50 and 160,378.60 is: 221,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,038.44 : 353,234.50 = 160,378.60 : x
  2. Step 2: Convert to fraction form
    256,038.44/353,234.50 = 160,378.60/x
  3. Step 3: Cross multiply
    256,038.44x = 353,234.50 × 160,378.60
  4. Step 4: Simplify right side
    256,038.44x = 56,651,254,581.70
  5. Step 5: Solve for x
    x = 56,651,254,581.70/256,038.44
  6. Step 6: Final answer
    x = 221,260.74

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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.