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Finding the Fourth Proportional to 397,999.20, 596,998.80 and 375,189.60

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Solution

The fourth proportional to 397,999.20, 596,998.80 and 375,189.60 is: 562,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,999.20 : 596,998.80 = 375,189.60 : x
  2. Step 2: Convert to fraction form
    397,999.20/596,998.80 = 375,189.60/x
  3. Step 3: Cross multiply
    397,999.20x = 596,998.80 × 375,189.60
  4. Step 4: Simplify right side
    397,999.20x = 223,987,740,972.48
  5. Step 5: Solve for x
    x = 223,987,740,972.48/397,999.20
  6. Step 6: Final answer
    x = 562,784.40

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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.