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Finding the Fourth Proportional to 339,459.40, 468,461.40 and 186,499.56

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Solution

The fourth proportional to 339,459.40, 468,461.40 and 186,499.56 is: 257,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,459.40 : 468,461.40 = 186,499.56 : x
  2. Step 2: Convert to fraction form
    339,459.40/468,461.40 = 186,499.56/x
  3. Step 3: Cross multiply
    339,459.40x = 468,461.40 × 186,499.56
  4. Step 4: Simplify right side
    339,459.40x = 87,367,844,976.98
  5. Step 5: Solve for x
    x = 87,367,844,976.98/339,459.40
  6. Step 6: Final answer
    x = 257,373.47

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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.