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Finding the Fourth Proportional to 406,373.76, 609,677.28 and 265,958.64

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Solution

The fourth proportional to 406,373.76, 609,677.28 and 265,958.64 is: 399,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,373.76 : 609,677.28 = 265,958.64 : x
  2. Step 2: Convert to fraction form
    406,373.76/609,677.28 = 265,958.64/x
  3. Step 3: Cross multiply
    406,373.76x = 609,677.28 × 265,958.64
  4. Step 4: Simplify right side
    406,373.76x = 162,148,940,227.70
  5. Step 5: Solve for x
    x = 162,148,940,227.70/406,373.76
  6. Step 6: Final answer
    x = 399,014.30

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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.