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Finding the Fourth Proportional to 408,082.10, 612,123.15 and 405,457.70

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Solution

The fourth proportional to 408,082.10, 612,123.15 and 405,457.70 is: 608,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,082.10 : 612,123.15 = 405,457.70 : x
  2. Step 2: Convert to fraction form
    408,082.10/612,123.15 = 405,457.70/x
  3. Step 3: Cross multiply
    408,082.10x = 612,123.15 × 405,457.70
  4. Step 4: Simplify right side
    408,082.10x = 248,190,044,515.76
  5. Step 5: Solve for x
    x = 248,190,044,515.76/408,082.10
  6. Step 6: Final answer
    x = 608,186.55

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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.