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Finding the Fourth Proportional to 406,142.02, 608,654.13 and 345,858.58

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Solution

The fourth proportional to 406,142.02, 608,654.13 and 345,858.58 is: 518,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,142.02 : 608,654.13 = 345,858.58 : x
  2. Step 2: Convert to fraction form
    406,142.02/608,654.13 = 345,858.58/x
  3. Step 3: Cross multiply
    406,142.02x = 608,654.13 × 345,858.58
  4. Step 4: Simplify right side
    406,142.02x = 210,508,253,112.94
  5. Step 5: Solve for x
    x = 210,508,253,112.94/406,142.02
  6. Step 6: Final answer
    x = 518,311.93

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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.