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Finding the Fourth Proportional to 398,018.64, 549,304.52 and 297,241.68

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Solution

The fourth proportional to 398,018.64, 549,304.52 and 297,241.68 is: 410,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,018.64 : 549,304.52 = 297,241.68 : x
  2. Step 2: Convert to fraction form
    398,018.64/549,304.52 = 297,241.68/x
  3. Step 3: Cross multiply
    398,018.64x = 549,304.52 × 297,241.68
  4. Step 4: Simplify right side
    398,018.64x = 163,276,198,356.39
  5. Step 5: Solve for x
    x = 163,276,198,356.39/398,018.64
  6. Step 6: Final answer
    x = 410,222.49

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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.