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Finding the Fourth Proportional to 389,613.40, 585,111.30 and 301,082.20

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Solution

The fourth proportional to 389,613.40, 585,111.30 and 301,082.20 is: 452,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,613.40 : 585,111.30 = 301,082.20 : x
  2. Step 2: Convert to fraction form
    389,613.40/585,111.30 = 301,082.20/x
  3. Step 3: Cross multiply
    389,613.40x = 585,111.30 × 301,082.20
  4. Step 4: Simplify right side
    389,613.40x = 176,166,597,448.86
  5. Step 5: Solve for x
    x = 176,166,597,448.86/389,613.40
  6. Step 6: Final answer
    x = 452,157.44

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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.