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Finding the Fourth Proportional to 406,775.02, 610,167.72 and 280,381.34

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Solution

The fourth proportional to 406,775.02, 610,167.72 and 280,381.34 is: 420,575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,775.02 : 610,167.72 = 280,381.34 : x
  2. Step 2: Convert to fraction form
    406,775.02/610,167.72 = 280,381.34/x
  3. Step 3: Cross multiply
    406,775.02x = 610,167.72 × 280,381.34
  4. Step 4: Simplify right side
    406,775.02x = 171,079,642,958.35
  5. Step 5: Solve for x
    x = 171,079,642,958.35/406,775.02
  6. Step 6: Final answer
    x = 420,575.59

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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.