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Finding the Fourth Proportional to 398,470.46, 549,885.74 and 217,182.40

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Solution

The fourth proportional to 398,470.46, 549,885.74 and 217,182.40 is: 299,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,470.46 : 549,885.74 = 217,182.40 : x
  2. Step 2: Convert to fraction form
    398,470.46/549,885.74 = 217,182.40/x
  3. Step 3: Cross multiply
    398,470.46x = 549,885.74 × 217,182.40
  4. Step 4: Simplify right side
    398,470.46x = 119,425,504,738.98
  5. Step 5: Solve for x
    x = 119,425,504,738.98/398,470.46
  6. Step 6: Final answer
    x = 299,709.81

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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.