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Finding the Fourth Proportional to 396,120, 546,645.60 and 217,268.16

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Solution

The fourth proportional to 396,120, 546,645.60 and 217,268.16 is: 299,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,120 : 546,645.60 = 217,268.16 : x
  2. Step 2: Convert to fraction form
    396,120/546,645.60 = 217,268.16/x
  3. Step 3: Cross multiply
    396,120x = 546,645.60 × 217,268.16
  4. Step 4: Simplify right side
    396,120x = 118,768,683,684.10
  5. Step 5: Solve for x
    x = 118,768,683,684.10/396,120
  6. Step 6: Final answer
    x = 299,830.06

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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.