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Finding the Fourth Proportional to 684,434.94, 944,636.76 and 398,121

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Solution

The fourth proportional to 684,434.94, 944,636.76 and 398,121 is: 549,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,434.94 : 944,636.76 = 398,121 : x
  2. Step 2: Convert to fraction form
    684,434.94/944,636.76 = 398,121/x
  3. Step 3: Cross multiply
    684,434.94x = 944,636.76 × 398,121
  4. Step 4: Simplify right side
    684,434.94x = 376,079,731,527.96
  5. Step 5: Solve for x
    x = 376,079,731,527.96/684,434.94
  6. Step 6: Final answer
    x = 549,474.77

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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.