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Finding the Fourth Proportional to 398,356.08, 549,724.38 and 217,069.32

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Solution

The fourth proportional to 398,356.08, 549,724.38 and 217,069.32 is: 299,551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,356.08 : 549,724.38 = 217,069.32 : x
  2. Step 2: Convert to fraction form
    398,356.08/549,724.38 = 217,069.32/x
  3. Step 3: Cross multiply
    398,356.08x = 549,724.38 × 217,069.32
  4. Step 4: Simplify right side
    398,356.08x = 119,328,297,354.02
  5. Step 5: Solve for x
    x = 119,328,297,354.02/398,356.08
  6. Step 6: Final answer
    x = 299,551.84

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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.