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Finding the Fourth Proportional to 688,420.47, 949,998.81 and 378,322.32

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Solution

The fourth proportional to 688,420.47, 949,998.81 and 378,322.32 is: 522,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,420.47 : 949,998.81 = 378,322.32 : x
  2. Step 2: Convert to fraction form
    688,420.47/949,998.81 = 378,322.32/x
  3. Step 3: Cross multiply
    688,420.47x = 949,998.81 × 378,322.32
  4. Step 4: Simplify right side
    688,420.47x = 359,405,751,652.65
  5. Step 5: Solve for x
    x = 359,405,751,652.65/688,420.47
  6. Step 6: Final answer
    x = 522,073.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.