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Finding the Fourth Proportional to 387,111, 580,666.50 and 106,628.28

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Solution

The fourth proportional to 387,111, 580,666.50 and 106,628.28 is: 159,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,111 : 580,666.50 = 106,628.28 : x
  2. Step 2: Convert to fraction form
    387,111/580,666.50 = 106,628.28/x
  3. Step 3: Cross multiply
    387,111x = 580,666.50 × 106,628.28
  4. Step 4: Simplify right side
    387,111x = 61,915,470,148.62
  5. Step 5: Solve for x
    x = 61,915,470,148.62/387,111
  6. Step 6: Final answer
    x = 159,942.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.