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Finding the Fourth Proportional to 307,222.64, 423,951 and 173,078

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Solution

The fourth proportional to 307,222.64, 423,951 and 173,078 is: 238,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,222.64 : 423,951 = 173,078 : x
  2. Step 2: Convert to fraction form
    307,222.64/423,951 = 173,078/x
  3. Step 3: Cross multiply
    307,222.64x = 423,951 × 173,078
  4. Step 4: Simplify right side
    307,222.64x = 73,376,591,178
  5. Step 5: Solve for x
    x = 73,376,591,178/307,222.64
  6. Step 6: Final answer
    x = 238,838.49

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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.