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Finding the Fourth Proportional to 398,506.70, 549,922.70 and 217,214.65

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Solution

The fourth proportional to 398,506.70, 549,922.70 and 217,214.65 is: 299,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,506.70 : 549,922.70 = 217,214.65 : x
  2. Step 2: Convert to fraction form
    398,506.70/549,922.70 = 217,214.65/x
  3. Step 3: Cross multiply
    398,506.70x = 549,922.70 × 217,214.65
  4. Step 4: Simplify right side
    398,506.70x = 119,451,268,038.00
  5. Step 5: Solve for x
    x = 119,451,268,038.00/398,506.70
  6. Step 6: Final answer
    x = 299,747.20

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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.