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Finding the Fourth Proportional to 413,538.30, 620,307.45 and 133,083.90

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Solution

The fourth proportional to 413,538.30, 620,307.45 and 133,083.90 is: 199,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,538.30 : 620,307.45 = 133,083.90 : x
  2. Step 2: Convert to fraction form
    413,538.30/620,307.45 = 133,083.90/x
  3. Step 3: Cross multiply
    413,538.30x = 620,307.45 × 133,083.90
  4. Step 4: Simplify right side
    413,538.30x = 82,552,934,645.06
  5. Step 5: Solve for x
    x = 82,552,934,645.06/413,538.30
  6. Step 6: Final answer
    x = 199,625.85

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1.5x scale

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.