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Finding the Fourth Proportional to 356,275.82, 491,655.72 and 195,130.82

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Solution

The fourth proportional to 356,275.82, 491,655.72 and 195,130.82 is: 269,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,275.82 : 491,655.72 = 195,130.82 : x
  2. Step 2: Convert to fraction form
    356,275.82/491,655.72 = 195,130.82/x
  3. Step 3: Cross multiply
    356,275.82x = 491,655.72 × 195,130.82
  4. Step 4: Simplify right side
    356,275.82x = 95,937,183,801.29
  5. Step 5: Solve for x
    x = 95,937,183,801.29/356,275.82
  6. Step 6: Final answer
    x = 269,277.84

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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.