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Finding the Fourth Proportional to 684,406.80, 944,487.36 and 378,467.28

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Solution

The fourth proportional to 684,406.80, 944,487.36 and 378,467.28 is: 522,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,406.80 : 944,487.36 = 378,467.28 : x
  2. Step 2: Convert to fraction form
    684,406.80/944,487.36 = 378,467.28/x
  3. Step 3: Cross multiply
    684,406.80x = 944,487.36 × 378,467.28
  4. Step 4: Simplify right side
    684,406.80x = 357,457,562,133.58
  5. Step 5: Solve for x
    x = 357,457,562,133.58/684,406.80
  6. Step 6: Final answer
    x = 522,288.15

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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.