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Finding the Fourth Proportional to 316,801.33, 436,835.57 and 201,898.07

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Solution

The fourth proportional to 316,801.33, 436,835.57 and 201,898.07 is: 278,396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,801.33 : 436,835.57 = 201,898.07 : x
  2. Step 2: Convert to fraction form
    316,801.33/436,835.57 = 201,898.07/x
  3. Step 3: Cross multiply
    316,801.33x = 436,835.57 × 201,898.07
  4. Step 4: Simplify right side
    316,801.33x = 88,196,256,934.82
  5. Step 5: Solve for x
    x = 88,196,256,934.82/316,801.33
  6. Step 6: Final answer
    x = 278,396.11

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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.