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Finding the Fourth Proportional to 873,134, 1,309,701.30 and 392,800.70

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Solution

The fourth proportional to 873,134, 1,309,701.30 and 392,800.70 is: 589,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,134 : 1,309,701.30 = 392,800.70 : x
  2. Step 2: Convert to fraction form
    873,134/1,309,701.30 = 392,800.70/x
  3. Step 3: Cross multiply
    873,134x = 1,309,701.30 × 392,800.70
  4. Step 4: Simplify right side
    873,134x = 514,451,587,430.91
  5. Step 5: Solve for x
    x = 514,451,587,430.91/873,134
  6. Step 6: Final answer
    x = 589,201.18

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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.