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Finding the Fourth Proportional to 407,141.80, 609,546.30 and 395,477.80

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Solution

The fourth proportional to 407,141.80, 609,546.30 and 395,477.80 is: 592,083.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,141.80 : 609,546.30 = 395,477.80 : x
  2. Step 2: Convert to fraction form
    407,141.80/609,546.30 = 395,477.80/x
  3. Step 3: Cross multiply
    407,141.80x = 609,546.30 × 395,477.80
  4. Step 4: Simplify right side
    407,141.80x = 241,062,029,722.14
  5. Step 5: Solve for x
    x = 241,062,029,722.14/407,141.80
  6. Step 6: Final answer
    x = 592,083.72

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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.