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Finding the Fourth Proportional to 256,889.76, 385,445.34 and 107,159.54

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Solution

The fourth proportional to 256,889.76, 385,445.34 and 107,159.54 is: 160,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,889.76 : 385,445.34 = 107,159.54 : x
  2. Step 2: Convert to fraction form
    256,889.76/385,445.34 = 107,159.54/x
  3. Step 3: Cross multiply
    256,889.76x = 385,445.34 × 107,159.54
  4. Step 4: Simplify right side
    256,889.76x = 41,304,145,329.54
  5. Step 5: Solve for x
    x = 41,304,145,329.54/256,889.76
  6. Step 6: Final answer
    x = 160,785.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.