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Finding the Fourth Proportional to 356,314, 491,698.92 and 213,153.16

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Solution

The fourth proportional to 356,314, 491,698.92 and 213,153.16 is: 294,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,314 : 491,698.92 = 213,153.16 : x
  2. Step 2: Convert to fraction form
    356,314/491,698.92 = 213,153.16/x
  3. Step 3: Cross multiply
    356,314x = 491,698.92 × 213,153.16
  4. Step 4: Simplify right side
    356,314x = 104,807,178,566.59
  5. Step 5: Solve for x
    x = 104,807,178,566.59/356,314
  6. Step 6: Final answer
    x = 294,142.75

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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.