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Finding the Fourth Proportional to 256,042.49, 353,505.06 and 229,138.74

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Solution

The fourth proportional to 256,042.49, 353,505.06 and 229,138.74 is: 316,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,042.49 : 353,505.06 = 229,138.74 : x
  2. Step 2: Convert to fraction form
    256,042.49/353,505.06 = 229,138.74/x
  3. Step 3: Cross multiply
    256,042.49x = 353,505.06 × 229,138.74
  4. Step 4: Simplify right side
    256,042.49x = 81,001,704,032.02
  5. Step 5: Solve for x
    x = 81,001,704,032.02/256,042.49
  6. Step 6: Final answer
    x = 316,360.40

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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.