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Finding the Fourth Proportional to 873,137, 1,309,705.80 and 392,803.70

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Solution

The fourth proportional to 873,137, 1,309,705.80 and 392,803.70 is: 589,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,137 : 1,309,705.80 = 392,803.70 : x
  2. Step 2: Convert to fraction form
    873,137/1,309,705.80 = 392,803.70/x
  3. Step 3: Cross multiply
    873,137x = 1,309,705.80 × 392,803.70
  4. Step 4: Simplify right side
    873,137x = 514,457,284,151.46
  5. Step 5: Solve for x
    x = 514,457,284,151.46/873,137
  6. Step 6: Final answer
    x = 589,205.68

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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.