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Finding the Fourth Proportional to 356,752, 492,394.56 and 213,544

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Solution

The fourth proportional to 356,752, 492,394.56 and 213,544 is: 294,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,752 : 492,394.56 = 213,544 : x
  2. Step 2: Convert to fraction form
    356,752/492,394.56 = 213,544/x
  3. Step 3: Cross multiply
    356,752x = 492,394.56 × 213,544
  4. Step 4: Simplify right side
    356,752x = 105,147,903,920.64
  5. Step 5: Solve for x
    x = 105,147,903,920.64/356,752
  6. Step 6: Final answer
    x = 294,736.69

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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.