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Finding the Fourth Proportional to 256,053, 353,519.56 and 229,149.24

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Solution

The fourth proportional to 256,053, 353,519.56 and 229,149.24 is: 316,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,053 : 353,519.56 = 229,149.24 : x
  2. Step 2: Convert to fraction form
    256,053/353,519.56 = 229,149.24/x
  3. Step 3: Cross multiply
    256,053x = 353,519.56 × 229,149.24
  4. Step 4: Simplify right side
    256,053x = 81,008,738,499.13
  5. Step 5: Solve for x
    x = 81,008,738,499.13/256,053
  6. Step 6: Final answer
    x = 316,374.89

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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.