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Finding the Fourth Proportional to 646,892.86, 969,266.52 and 393,406.60

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Solution

The fourth proportional to 646,892.86, 969,266.52 and 393,406.60 is: 589,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,892.86 : 969,266.52 = 393,406.60 : x
  2. Step 2: Convert to fraction form
    646,892.86/969,266.52 = 393,406.60/x
  3. Step 3: Cross multiply
    646,892.86x = 969,266.52 × 393,406.60
  4. Step 4: Simplify right side
    646,892.86x = 381,315,846,127.03
  5. Step 5: Solve for x
    x = 381,315,846,127.03/646,892.86
  6. Step 6: Final answer
    x = 589,457.50

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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.