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Finding the Fourth Proportional to 471,510.76, 707,007.66 and 186,913

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Solution

The fourth proportional to 471,510.76, 707,007.66 and 186,913 is: 280,267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,510.76 : 707,007.66 = 186,913 : x
  2. Step 2: Convert to fraction form
    471,510.76/707,007.66 = 186,913/x
  3. Step 3: Cross multiply
    471,510.76x = 707,007.66 × 186,913
  4. Step 4: Simplify right side
    471,510.76x = 132,148,922,753.58
  5. Step 5: Solve for x
    x = 132,148,922,753.58/471,510.76
  6. Step 6: Final answer
    x = 280,267.04

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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.