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Finding the Fourth Proportional to 256,321, 353,703.06 and 148,873.48

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Solution

The fourth proportional to 256,321, 353,703.06 and 148,873.48 is: 205,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,321 : 353,703.06 = 148,873.48 : x
  2. Step 2: Convert to fraction form
    256,321/353,703.06 = 148,873.48/x
  3. Step 3: Cross multiply
    256,321x = 353,703.06 × 148,873.48
  4. Step 4: Simplify right side
    256,321x = 52,657,005,428.85
  5. Step 5: Solve for x
    x = 52,657,005,428.85/256,321
  6. Step 6: Final answer
    x = 205,433.83

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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.