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Finding the Fourth Proportional to 408,669.12, 612,206.64 and 230,637.60

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Solution

The fourth proportional to 408,669.12, 612,206.64 and 230,637.60 is: 345,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,669.12 : 612,206.64 = 230,637.60 : x
  2. Step 2: Convert to fraction form
    408,669.12/612,206.64 = 230,637.60/x
  3. Step 3: Cross multiply
    408,669.12x = 612,206.64 × 230,637.60
  4. Step 4: Simplify right side
    408,669.12x = 141,197,870,153.66
  5. Step 5: Solve for x
    x = 141,197,870,153.66/408,669.12
  6. Step 6: Final answer
    x = 345,506.58

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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.