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Finding the Fourth Proportional to 256,012.48, 353,298.24 and 142,840

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Solution

The fourth proportional to 256,012.48, 353,298.24 and 142,840 is: 197,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,012.48 : 353,298.24 = 142,840 : x
  2. Step 2: Convert to fraction form
    256,012.48/353,298.24 = 142,840/x
  3. Step 3: Cross multiply
    256,012.48x = 353,298.24 × 142,840
  4. Step 4: Simplify right side
    256,012.48x = 50,465,120,601.60
  5. Step 5: Solve for x
    x = 50,465,120,601.60/256,012.48
  6. Step 6: Final answer
    x = 197,119.77

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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.