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Finding the Fourth Proportional to 301,195.78, 415,663.32 and 180,313.78

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Solution

The fourth proportional to 301,195.78, 415,663.32 and 180,313.78 is: 248,840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,195.78 : 415,663.32 = 180,313.78 : x
  2. Step 2: Convert to fraction form
    301,195.78/415,663.32 = 180,313.78/x
  3. Step 3: Cross multiply
    301,195.78x = 415,663.32 × 180,313.78
  4. Step 4: Simplify right side
    301,195.78x = 74,949,824,436.55
  5. Step 5: Solve for x
    x = 74,949,824,436.55/301,195.78
  6. Step 6: Final answer
    x = 248,840.88

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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.