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Finding the Fourth Proportional to 397,975.83, 549,188.28 and 216,687.21

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Solution

The fourth proportional to 397,975.83, 549,188.28 and 216,687.21 is: 299,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,975.83 : 549,188.28 = 216,687.21 : x
  2. Step 2: Convert to fraction form
    397,975.83/549,188.28 = 216,687.21/x
  3. Step 3: Cross multiply
    397,975.83x = 549,188.28 × 216,687.21
  4. Step 4: Simplify right side
    397,975.83x = 119,002,076,157.90
  5. Step 5: Solve for x
    x = 119,002,076,157.90/397,975.83
  6. Step 6: Final answer
    x = 299,018.35

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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.