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Finding the Fourth Proportional to 406,502.55, 609,097.73 and 256,474.35

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Solution

The fourth proportional to 406,502.55, 609,097.73 and 256,474.35 is: 384,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,502.55 : 609,097.73 = 256,474.35 : x
  2. Step 2: Convert to fraction form
    406,502.55/609,097.73 = 256,474.35/x
  3. Step 3: Cross multiply
    406,502.55x = 609,097.73 × 256,474.35
  4. Step 4: Simplify right side
    406,502.55x = 156,217,943,105.85
  5. Step 5: Solve for x
    x = 156,217,943,105.85/406,502.55
  6. Step 6: Final answer
    x = 384,297.57

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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.