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Finding the Fourth Proportional to 316,406.48, 436,228.70 and 201,643.25

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Solution

The fourth proportional to 316,406.48, 436,228.70 and 201,643.25 is: 278,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,406.48 : 436,228.70 = 201,643.25 : x
  2. Step 2: Convert to fraction form
    316,406.48/436,228.70 = 201,643.25/x
  3. Step 3: Cross multiply
    316,406.48x = 436,228.70 × 201,643.25
  4. Step 4: Simplify right side
    316,406.48x = 87,962,569,621.92
  5. Step 5: Solve for x
    x = 87,962,569,621.92/316,406.48
  6. Step 6: Final answer
    x = 278,004.96

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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.