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Finding the Fourth Proportional to 219,672.86, 329,509.32 and 53,460.86

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Solution

The fourth proportional to 219,672.86, 329,509.32 and 53,460.86 is: 80,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,672.86 : 329,509.32 = 53,460.86 : x
  2. Step 2: Convert to fraction form
    219,672.86/329,509.32 = 53,460.86/x
  3. Step 3: Cross multiply
    219,672.86x = 329,509.32 × 53,460.86
  4. Step 4: Simplify right side
    219,672.86x = 17,615,851,625.22
  5. Step 5: Solve for x
    x = 17,615,851,625.22/219,672.86
  6. Step 6: Final answer
    x = 80,191.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.