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Finding the Fourth Proportional to 256,471.47, 354,029.40 and 229,566.51

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Solution

The fourth proportional to 256,471.47, 354,029.40 and 229,566.51 is: 316,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,471.47 : 354,029.40 = 229,566.51 : x
  2. Step 2: Convert to fraction form
    256,471.47/354,029.40 = 229,566.51/x
  3. Step 3: Cross multiply
    256,471.47x = 354,029.40 × 229,566.51
  4. Step 4: Simplify right side
    256,471.47x = 81,273,293,795.39
  5. Step 5: Solve for x
    x = 81,273,293,795.39/256,471.47
  6. Step 6: Final answer
    x = 316,890.19

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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.