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Finding the Fourth Proportional to 256,014.92, 353,279.59 and 142,835.24

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Solution

The fourth proportional to 256,014.92, 353,279.59 and 142,835.24 is: 197,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,014.92 : 353,279.59 = 142,835.24 : x
  2. Step 2: Convert to fraction form
    256,014.92/353,279.59 = 142,835.24/x
  3. Step 3: Cross multiply
    256,014.92x = 353,279.59 × 142,835.24
  4. Step 4: Simplify right side
    256,014.92x = 50,460,772,901.27
  5. Step 5: Solve for x
    x = 50,460,772,901.27/256,014.92
  6. Step 6: Final answer
    x = 197,100.91

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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.