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Finding the Fourth Proportional to 398,537.12, 549,953.70 and 224,133.42

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Solution

The fourth proportional to 398,537.12, 549,953.70 and 224,133.42 is: 309,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,537.12 : 549,953.70 = 224,133.42 : x
  2. Step 2: Convert to fraction form
    398,537.12/549,953.70 = 224,133.42/x
  3. Step 3: Cross multiply
    398,537.12x = 549,953.70 × 224,133.42
  4. Step 4: Simplify right side
    398,537.12x = 123,263,003,622.65
  5. Step 5: Solve for x
    x = 123,263,003,622.65/398,537.12
  6. Step 6: Final answer
    x = 309,288.64

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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.