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Finding the Fourth Proportional to 413,521.10, 620,368.05 and 133,066.70

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Solution

The fourth proportional to 413,521.10, 620,368.05 and 133,066.70 is: 199,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,521.10 : 620,368.05 = 133,066.70 : x
  2. Step 2: Convert to fraction form
    413,521.10/620,368.05 = 133,066.70/x
  3. Step 3: Cross multiply
    413,521.10x = 620,368.05 × 133,066.70
  4. Step 4: Simplify right side
    413,521.10x = 82,550,329,198.94
  5. Step 5: Solve for x
    x = 82,550,329,198.94/413,521.10
  6. Step 6: Final answer
    x = 199,627.85

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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.