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Finding the Fourth Proportional to 342,035.84, 472,141.44 and 306,162.56

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Solution

The fourth proportional to 342,035.84, 472,141.44 and 306,162.56 is: 422,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,035.84 : 472,141.44 = 306,162.56 : x
  2. Step 2: Convert to fraction form
    342,035.84/472,141.44 = 306,162.56/x
  3. Step 3: Cross multiply
    342,035.84x = 472,141.44 × 306,162.56
  4. Step 4: Simplify right side
    342,035.84x = 144,552,031,952.49
  5. Step 5: Solve for x
    x = 144,552,031,952.49/342,035.84
  6. Step 6: Final answer
    x = 422,622.47

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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.