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Finding the Fourth Proportional to 256,597.39, 384,644.70 and 142,799.47

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Solution

The fourth proportional to 256,597.39, 384,644.70 and 142,799.47 is: 214,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,597.39 : 384,644.70 = 142,799.47 : x
  2. Step 2: Convert to fraction form
    256,597.39/384,644.70 = 142,799.47/x
  3. Step 3: Cross multiply
    256,597.39x = 384,644.70 × 142,799.47
  4. Step 4: Simplify right side
    256,597.39x = 54,927,058,018.35
  5. Step 5: Solve for x
    x = 54,927,058,018.35/256,597.39
  6. Step 6: Final answer
    x = 214,059.30

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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.