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Finding the Fourth Proportional to 462,605.69, 638,200.37 and 309,693.14

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Solution

The fourth proportional to 462,605.69, 638,200.37 and 309,693.14 is: 427,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,605.69 : 638,200.37 = 309,693.14 : x
  2. Step 2: Convert to fraction form
    462,605.69/638,200.37 = 309,693.14/x
  3. Step 3: Cross multiply
    462,605.69x = 638,200.37 × 309,693.14
  4. Step 4: Simplify right side
    462,605.69x = 197,646,274,986.00
  5. Step 5: Solve for x
    x = 197,646,274,986.00/462,605.69
  6. Step 6: Final answer
    x = 427,245.66

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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.