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Finding the Fourth Proportional to 256,055.72, 353,523.36 and 229,152

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Solution

The fourth proportional to 256,055.72, 353,523.36 and 229,152 is: 316,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,055.72 : 353,523.36 = 229,152 : x
  2. Step 2: Convert to fraction form
    256,055.72/353,523.36 = 229,152/x
  3. Step 3: Cross multiply
    256,055.72x = 353,523.36 × 229,152
  4. Step 4: Simplify right side
    256,055.72x = 81,010,584,990.72
  5. Step 5: Solve for x
    x = 81,010,584,990.72/256,055.72
  6. Step 6: Final answer
    x = 316,378.74

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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.