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Finding the Fourth Proportional to 356,544, 492,030.72 and 213,310.08

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Solution

The fourth proportional to 356,544, 492,030.72 and 213,310.08 is: 294,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,544 : 492,030.72 = 213,310.08 : x
  2. Step 2: Convert to fraction form
    356,544/492,030.72 = 213,310.08/x
  3. Step 3: Cross multiply
    356,544x = 492,030.72 × 213,310.08
  4. Step 4: Simplify right side
    356,544x = 104,955,112,245.66
  5. Step 5: Solve for x
    x = 104,955,112,245.66/356,544
  6. Step 6: Final answer
    x = 294,367.91

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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.