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Finding the Fourth Proportional to 307,955.93, 421,892.55 and 296,442.56

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Solution

The fourth proportional to 307,955.93, 421,892.55 and 296,442.56 is: 406,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,955.93 : 421,892.55 = 296,442.56 : x
  2. Step 2: Convert to fraction form
    307,955.93/421,892.55 = 296,442.56/x
  3. Step 3: Cross multiply
    307,955.93x = 421,892.55 × 296,442.56
  4. Step 4: Simplify right side
    307,955.93x = 125,066,905,457.47
  5. Step 5: Solve for x
    x = 125,066,905,457.47/307,955.93
  6. Step 6: Final answer
    x = 406,119.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.