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Finding the Fourth Proportional to 684,437.94, 944,640.90 and 398,124

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Solution

The fourth proportional to 684,437.94, 944,640.90 and 398,124 is: 549,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,437.94 : 944,640.90 = 398,124 : x
  2. Step 2: Convert to fraction form
    684,437.94/944,640.90 = 398,124/x
  3. Step 3: Cross multiply
    684,437.94x = 944,640.90 × 398,124
  4. Step 4: Simplify right side
    684,437.94x = 376,084,213,671.60
  5. Step 5: Solve for x
    x = 376,084,213,671.60/684,437.94
  6. Step 6: Final answer
    x = 549,478.91

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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.