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Finding the Fourth Proportional to 684,311, 944,329.56 and 378,382.04

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Solution

The fourth proportional to 684,311, 944,329.56 and 378,382.04 is: 522,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,311 : 944,329.56 = 378,382.04 : x
  2. Step 2: Convert to fraction form
    684,311/944,329.56 = 378,382.04/x
  3. Step 3: Cross multiply
    684,311x = 944,329.56 × 378,382.04
  4. Step 4: Simplify right side
    684,311x = 357,317,345,345.10
  5. Step 5: Solve for x
    x = 357,317,345,345.10/684,311
  6. Step 6: Final answer
    x = 522,156.37

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1.5x scale

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.