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Finding the Fourth Proportional to 413,388.06, 620,088.30 and 143,524.74

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Solution

The fourth proportional to 413,388.06, 620,088.30 and 143,524.74 is: 215,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,388.06 : 620,088.30 = 143,524.74 : x
  2. Step 2: Convert to fraction form
    413,388.06/620,088.30 = 143,524.74/x
  3. Step 3: Cross multiply
    413,388.06x = 620,088.30 × 143,524.74
  4. Step 4: Simplify right side
    413,388.06x = 88,998,012,034.54
  5. Step 5: Solve for x
    x = 88,998,012,034.54/413,388.06
  6. Step 6: Final answer
    x = 215,289.27

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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.