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Finding the Fourth Proportional to 356,507.10, 491,979.80 and 195,368.49

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Solution

The fourth proportional to 356,507.10, 491,979.80 and 195,368.49 is: 269,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,507.10 : 491,979.80 = 195,368.49 : x
  2. Step 2: Convert to fraction form
    356,507.10/491,979.80 = 195,368.49/x
  3. Step 3: Cross multiply
    356,507.10x = 491,979.80 × 195,368.49
  4. Step 4: Simplify right side
    356,507.10x = 96,117,347,199.76
  5. Step 5: Solve for x
    x = 96,117,347,199.76/356,507.10
  6. Step 6: Final answer
    x = 269,608.51

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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.