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Finding the Fourth Proportional to 398,022.64, 549,310.04 and 297,245.68

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Solution

The fourth proportional to 398,022.64, 549,310.04 and 297,245.68 is: 410,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,022.64 : 549,310.04 = 297,245.68 : x
  2. Step 2: Convert to fraction form
    398,022.64/549,310.04 = 297,245.68/x
  3. Step 3: Cross multiply
    398,022.64x = 549,310.04 × 297,245.68
  4. Step 4: Simplify right side
    398,022.64x = 163,280,036,370.63
  5. Step 5: Solve for x
    x = 163,280,036,370.63/398,022.64
  6. Step 6: Final answer
    x = 410,228.01

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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.