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Finding the Fourth Proportional to 315,939.81, 436,356.43 and 212,394.17

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Solution

The fourth proportional to 315,939.81, 436,356.43 and 212,394.17 is: 293,345.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,939.81 : 436,356.43 = 212,394.17 : x
  2. Step 2: Convert to fraction form
    315,939.81/436,356.43 = 212,394.17/x
  3. Step 3: Cross multiply
    315,939.81x = 436,356.43 × 212,394.17
  4. Step 4: Simplify right side
    315,939.81x = 92,679,562,333.92
  5. Step 5: Solve for x
    x = 92,679,562,333.92/315,939.81
  6. Step 6: Final answer
    x = 293,345.63

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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.