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Finding the Fourth Proportional to 471,509.76, 707,006.16 and 186,912

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Solution

The fourth proportional to 471,509.76, 707,006.16 and 186,912 is: 280,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,509.76 : 707,006.16 = 186,912 : x
  2. Step 2: Convert to fraction form
    471,509.76/707,006.16 = 186,912/x
  3. Step 3: Cross multiply
    471,509.76x = 707,006.16 × 186,912
  4. Step 4: Simplify right side
    471,509.76x = 132,147,935,377.92
  5. Step 5: Solve for x
    x = 132,147,935,377.92/471,509.76
  6. Step 6: Final answer
    x = 280,265.54

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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.