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Finding the Fourth Proportional to 403,412.80, 604,082.40 and 297,659.20

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Solution

The fourth proportional to 403,412.80, 604,082.40 and 297,659.20 is: 445,723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,412.80 : 604,082.40 = 297,659.20 : x
  2. Step 2: Convert to fraction form
    403,412.80/604,082.40 = 297,659.20/x
  3. Step 3: Cross multiply
    403,412.80x = 604,082.40 × 297,659.20
  4. Step 4: Simplify right side
    403,412.80x = 179,810,683,918.08
  5. Step 5: Solve for x
    x = 179,810,683,918.08/403,412.80
  6. Step 6: Final answer
    x = 445,723.79

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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.