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Finding the Fourth Proportional to 219,354.32, 329,031.48 and 53,142.32

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Solution

The fourth proportional to 219,354.32, 329,031.48 and 53,142.32 is: 79,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,354.32 : 329,031.48 = 53,142.32 : x
  2. Step 2: Convert to fraction form
    219,354.32/329,031.48 = 53,142.32/x
  3. Step 3: Cross multiply
    219,354.32x = 329,031.48 × 53,142.32
  4. Step 4: Simplify right side
    219,354.32x = 17,485,496,200.23
  5. Step 5: Solve for x
    x = 17,485,496,200.23/219,354.32
  6. Step 6: Final answer
    x = 79,713.48

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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.