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Finding the Fourth Proportional to 522,578.64, 721,289.16 and 321,258

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Solution

The fourth proportional to 522,578.64, 721,289.16 and 321,258 is: 443,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,578.64 : 721,289.16 = 321,258 : x
  2. Step 2: Convert to fraction form
    522,578.64/721,289.16 = 321,258/x
  3. Step 3: Cross multiply
    522,578.64x = 721,289.16 × 321,258
  4. Step 4: Simplify right side
    522,578.64x = 231,719,912,963.28
  5. Step 5: Solve for x
    x = 231,719,912,963.28/522,578.64
  6. Step 6: Final answer
    x = 443,416.35

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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.