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Finding the Fourth Proportional to 256,129.64, 353,492.34 and 142,975.88

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Solution

The fourth proportional to 256,129.64, 353,492.34 and 142,975.88 is: 197,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,129.64 : 353,492.34 = 142,975.88 : x
  2. Step 2: Convert to fraction form
    256,129.64/353,492.34 = 142,975.88/x
  3. Step 3: Cross multiply
    256,129.64x = 353,492.34 × 142,975.88
  4. Step 4: Simplify right side
    256,129.64x = 50,540,878,384.76
  5. Step 5: Solve for x
    x = 50,540,878,384.76/256,129.64
  6. Step 6: Final answer
    x = 197,325.38

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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.