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Finding the Fourth Proportional to 403,072.80, 604,609.20 and 137,133.60

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Solution

The fourth proportional to 403,072.80, 604,609.20 and 137,133.60 is: 205,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,072.80 : 604,609.20 = 137,133.60 : x
  2. Step 2: Convert to fraction form
    403,072.80/604,609.20 = 137,133.60/x
  3. Step 3: Cross multiply
    403,072.80x = 604,609.20 × 137,133.60
  4. Step 4: Simplify right side
    403,072.80x = 82,912,236,189.12
  5. Step 5: Solve for x
    x = 82,912,236,189.12/403,072.80
  6. Step 6: Final answer
    x = 205,700.40

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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.