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Finding the Fourth Proportional to 256,146.32, 353,449.32 and 142,973.84

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Solution

The fourth proportional to 256,146.32, 353,449.32 and 142,973.84 is: 197,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,146.32 : 353,449.32 = 142,973.84 : x
  2. Step 2: Convert to fraction form
    256,146.32/353,449.32 = 142,973.84/x
  3. Step 3: Cross multiply
    256,146.32x = 353,449.32 × 142,973.84
  4. Step 4: Simplify right side
    256,146.32x = 50,534,006,525.79
  5. Step 5: Solve for x
    x = 50,534,006,525.79/256,146.32
  6. Step 6: Final answer
    x = 197,285.70

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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.