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Finding the Fourth Proportional to 873,132, 1,309,698.30 and 392,798.70

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Solution

The fourth proportional to 873,132, 1,309,698.30 and 392,798.70 is: 589,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,132 : 1,309,698.30 = 392,798.70 : x
  2. Step 2: Convert to fraction form
    873,132/1,309,698.30 = 392,798.70/x
  3. Step 3: Cross multiply
    873,132x = 1,309,698.30 × 392,798.70
  4. Step 4: Simplify right side
    873,132x = 514,447,789,632.21
  5. Step 5: Solve for x
    x = 514,447,789,632.21/873,132
  6. Step 6: Final answer
    x = 589,198.18

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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.