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Finding the Fourth Proportional to 259,971.88, 358,744 and 151,066.56

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Solution

The fourth proportional to 259,971.88, 358,744 and 151,066.56 is: 208,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,971.88 : 358,744 = 151,066.56 : x
  2. Step 2: Convert to fraction form
    259,971.88/358,744 = 151,066.56/x
  3. Step 3: Cross multiply
    259,971.88x = 358,744 × 151,066.56
  4. Step 4: Simplify right side
    259,971.88x = 54,194,222,000.64
  5. Step 5: Solve for x
    x = 54,194,222,000.64/259,971.88
  6. Step 6: Final answer
    x = 208,461.86

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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.