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Finding the Fourth Proportional to 684,563.79, 944,689.94 and 378,616.16

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Solution

The fourth proportional to 684,563.79, 944,689.94 and 378,616.16 is: 522,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,563.79 : 944,689.94 = 378,616.16 : x
  2. Step 2: Convert to fraction form
    684,563.79/944,689.94 = 378,616.16/x
  3. Step 3: Cross multiply
    684,563.79x = 944,689.94 × 378,616.16
  4. Step 4: Simplify right side
    684,563.79x = 357,674,870,856.90
  5. Step 5: Solve for x
    x = 357,674,870,856.90/684,563.79
  6. Step 6: Final answer
    x = 522,485.82

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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.