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Finding the Fourth Proportional to 398,513.75, 549,954.74 and 217,225.72

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Solution

The fourth proportional to 398,513.75, 549,954.74 and 217,225.72 is: 299,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,513.75 : 549,954.74 = 217,225.72 : x
  2. Step 2: Convert to fraction form
    398,513.75/549,954.74 = 217,225.72/x
  3. Step 3: Cross multiply
    398,513.75x = 549,954.74 × 217,225.72
  4. Step 4: Simplify right side
    398,513.75x = 119,464,310,528.01
  5. Step 5: Solve for x
    x = 119,464,310,528.01/398,513.75
  6. Step 6: Final answer
    x = 299,774.63

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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.