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Finding the Fourth Proportional to 413,572.69, 620,020 and 147,181.51

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Solution

The fourth proportional to 413,572.69, 620,020 and 147,181.51 is: 220,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,572.69 : 620,020 = 147,181.51 : x
  2. Step 2: Convert to fraction form
    413,572.69/620,020 = 147,181.51/x
  3. Step 3: Cross multiply
    413,572.69x = 620,020 × 147,181.51
  4. Step 4: Simplify right side
    413,572.69x = 91,255,479,830.20
  5. Step 5: Solve for x
    x = 91,255,479,830.20/413,572.69
  6. Step 6: Final answer
    x = 220,651.61

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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.