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Finding the Fourth Proportional to 256,046.73, 353,510.92 and 229,142.98

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Solution

The fourth proportional to 256,046.73, 353,510.92 and 229,142.98 is: 316,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,046.73 : 353,510.92 = 229,142.98 : x
  2. Step 2: Convert to fraction form
    256,046.73/353,510.92 = 229,142.98/x
  3. Step 3: Cross multiply
    256,046.73x = 353,510.92 × 229,142.98
  4. Step 4: Simplify right side
    256,046.73x = 81,004,545,671.34
  5. Step 5: Solve for x
    x = 81,004,545,671.34/256,046.73
  6. Step 6: Final answer
    x = 316,366.26

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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.