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Finding the Fourth Proportional to 307,761.56, 424,718.13 and 193,045.07

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Solution

The fourth proportional to 307,761.56, 424,718.13 and 193,045.07 is: 266,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,761.56 : 424,718.13 = 193,045.07 : x
  2. Step 2: Convert to fraction form
    307,761.56/424,718.13 = 193,045.07/x
  3. Step 3: Cross multiply
    307,761.56x = 424,718.13 × 193,045.07
  4. Step 4: Simplify right side
    307,761.56x = 81,989,742,921.83
  5. Step 5: Solve for x
    x = 81,989,742,921.83/307,761.56
  6. Step 6: Final answer
    x = 266,406.71

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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.