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Finding the Fourth Proportional to 406,379.77, 560,813.18 and 231,946.50

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Solution

The fourth proportional to 406,379.77, 560,813.18 and 231,946.50 is: 320,091.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,379.77 : 560,813.18 = 231,946.50 : x
  2. Step 2: Convert to fraction form
    406,379.77/560,813.18 = 231,946.50/x
  3. Step 3: Cross multiply
    406,379.77x = 560,813.18 × 231,946.50
  4. Step 4: Simplify right side
    406,379.77x = 130,078,654,254.87
  5. Step 5: Solve for x
    x = 130,078,654,254.87/406,379.77
  6. Step 6: Final answer
    x = 320,091.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.