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Finding the Fourth Proportional to 612,643.20, 917,652.60 and 400,066.80

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Solution

The fourth proportional to 612,643.20, 917,652.60 and 400,066.80 is: 599,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,643.20 : 917,652.60 = 400,066.80 : x
  2. Step 2: Convert to fraction form
    612,643.20/917,652.60 = 400,066.80/x
  3. Step 3: Cross multiply
    612,643.20x = 917,652.60 × 400,066.80
  4. Step 4: Simplify right side
    612,643.20x = 367,122,339,193.68
  5. Step 5: Solve for x
    x = 367,122,339,193.68/612,643.20
  6. Step 6: Final answer
    x = 599,243.31

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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.