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Finding the Fourth Proportional to 406,992.64, 610,405.84 and 154,185.98

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Solution

The fourth proportional to 406,992.64, 610,405.84 and 154,185.98 is: 231,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,992.64 : 610,405.84 = 154,185.98 : x
  2. Step 2: Convert to fraction form
    406,992.64/610,405.84 = 154,185.98/x
  3. Step 3: Cross multiply
    406,992.64x = 610,405.84 × 154,185.98
  4. Step 4: Simplify right side
    406,992.64x = 94,116,022,638.12
  5. Step 5: Solve for x
    x = 94,116,022,638.12/406,992.64
  6. Step 6: Final answer
    x = 231,247.48

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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.