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Finding the Fourth Proportional to 406,530.04, 609,679.82 and 256,545.64

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Solution

The fourth proportional to 406,530.04, 609,679.82 and 256,545.64 is: 384,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,530.04 : 609,679.82 = 256,545.64 : x
  2. Step 2: Convert to fraction form
    406,530.04/609,679.82 = 256,545.64/x
  3. Step 3: Cross multiply
    406,530.04x = 609,679.82 × 256,545.64
  4. Step 4: Simplify right side
    406,530.04x = 156,410,699,616.99
  5. Step 5: Solve for x
    x = 156,410,699,616.99/406,530.04
  6. Step 6: Final answer
    x = 384,745.74

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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.