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Finding the Fourth Proportional to 804,405.60, 1,206,608.40 and 331,430.40

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Solution

The fourth proportional to 804,405.60, 1,206,608.40 and 331,430.40 is: 497,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,405.60 : 1,206,608.40 = 331,430.40 : x
  2. Step 2: Convert to fraction form
    804,405.60/1,206,608.40 = 331,430.40/x
  3. Step 3: Cross multiply
    804,405.60x = 1,206,608.40 × 331,430.40
  4. Step 4: Simplify right side
    804,405.60x = 399,906,704,655.36
  5. Step 5: Solve for x
    x = 399,906,704,655.36/804,405.60
  6. Step 6: Final answer
    x = 497,145.60

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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.