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Finding the Fourth Proportional to 646,944, 969,342.96 and 393,457.68

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Solution

The fourth proportional to 646,944, 969,342.96 and 393,457.68 is: 589,533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,944 : 969,342.96 = 393,457.68 : x
  2. Step 2: Convert to fraction form
    646,944/969,342.96 = 393,457.68/x
  3. Step 3: Cross multiply
    646,944x = 969,342.96 × 393,457.68
  4. Step 4: Simplify right side
    646,944x = 381,395,432,165.93
  5. Step 5: Solve for x
    x = 381,395,432,165.93/646,944
  6. Step 6: Final answer
    x = 589,533.92

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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.