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Finding the Fourth Proportional to 397,884, 549,079.92 and 228,174.24

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Solution

The fourth proportional to 397,884, 549,079.92 and 228,174.24 is: 314,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,884 : 549,079.92 = 228,174.24 : x
  2. Step 2: Convert to fraction form
    397,884/549,079.92 = 228,174.24/x
  3. Step 3: Cross multiply
    397,884x = 549,079.92 × 228,174.24
  4. Step 4: Simplify right side
    397,884x = 125,285,893,445.26
  5. Step 5: Solve for x
    x = 125,285,893,445.26/397,884
  6. Step 6: Final answer
    x = 314,880.45

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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.