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Finding the Fourth Proportional to 398,520.64, 549,948.72 and 217,237.60

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Solution

The fourth proportional to 398,520.64, 549,948.72 and 217,237.60 is: 299,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,520.64 : 549,948.72 = 217,237.60 : x
  2. Step 2: Convert to fraction form
    398,520.64/549,948.72 = 217,237.60/x
  3. Step 3: Cross multiply
    398,520.64x = 549,948.72 × 217,237.60
  4. Step 4: Simplify right side
    398,520.64x = 119,469,540,055.87
  5. Step 5: Solve for x
    x = 119,469,540,055.87/398,520.64
  6. Step 6: Final answer
    x = 299,782.57

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1.5x scale

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.