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Finding the Fourth Proportional to 406,978.70, 610,468.05 and 185,794.70

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Solution

The fourth proportional to 406,978.70, 610,468.05 and 185,794.70 is: 278,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,978.70 : 610,468.05 = 185,794.70 : x
  2. Step 2: Convert to fraction form
    406,978.70/610,468.05 = 185,794.70/x
  3. Step 3: Cross multiply
    406,978.70x = 610,468.05 × 185,794.70
  4. Step 4: Simplify right side
    406,978.70x = 113,421,728,209.34
  5. Step 5: Solve for x
    x = 113,421,728,209.34/406,978.70
  6. Step 6: Final answer
    x = 278,692.05

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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.