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Finding the Fourth Proportional to 613,930.80, 921,021.21 and 258,946.14

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Solution

The fourth proportional to 613,930.80, 921,021.21 and 258,946.14 is: 388,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,930.80 : 921,021.21 = 258,946.14 : x
  2. Step 2: Convert to fraction form
    613,930.80/921,021.21 = 258,946.14/x
  3. Step 3: Cross multiply
    613,930.80x = 921,021.21 × 258,946.14
  4. Step 4: Simplify right side
    613,930.80x = 238,494,887,187.63
  5. Step 5: Solve for x
    x = 238,494,887,187.63/613,930.80
  6. Step 6: Final answer
    x = 388,471.94

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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.