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Finding the Fourth Proportional to 398,152.94, 549,446.42 and 216,864.32

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Solution

The fourth proportional to 398,152.94, 549,446.42 and 216,864.32 is: 299,270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,152.94 : 549,446.42 = 216,864.32 : x
  2. Step 2: Convert to fraction form
    398,152.94/549,446.42 = 216,864.32/x
  3. Step 3: Cross multiply
    398,152.94x = 549,446.42 × 216,864.32
  4. Step 4: Simplify right side
    398,152.94x = 119,155,324,249.73
  5. Step 5: Solve for x
    x = 119,155,324,249.73/398,152.94
  6. Step 6: Final answer
    x = 299,270.24

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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.