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Finding the Fourth Proportional to 521,640.30, 783,043.65 and 403,833.90

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Solution

The fourth proportional to 521,640.30, 783,043.65 and 403,833.90 is: 606,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,640.30 : 783,043.65 = 403,833.90 : x
  2. Step 2: Convert to fraction form
    521,640.30/783,043.65 = 403,833.90/x
  3. Step 3: Cross multiply
    521,640.30x = 783,043.65 × 403,833.90
  4. Step 4: Simplify right side
    521,640.30x = 316,219,571,049.74
  5. Step 5: Solve for x
    x = 316,219,571,049.74/521,640.30
  6. Step 6: Final answer
    x = 606,202.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.