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Finding the Fourth Proportional to 406,396.76, 609,711.78 and 265,981.64

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Solution

The fourth proportional to 406,396.76, 609,711.78 and 265,981.64 is: 399,048.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,396.76 : 609,711.78 = 265,981.64 : x
  2. Step 2: Convert to fraction form
    406,396.76/609,711.78 = 265,981.64/x
  3. Step 3: Cross multiply
    406,396.76x = 609,711.78 × 265,981.64
  4. Step 4: Simplify right side
    406,396.76x = 162,172,139,171.72
  5. Step 5: Solve for x
    x = 162,172,139,171.72/406,396.76
  6. Step 6: Final answer
    x = 399,048.80

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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.