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Finding the Fourth Proportional to 219,309.12, 328,984.28 and 61,536.88

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Solution

The fourth proportional to 219,309.12, 328,984.28 and 61,536.88 is: 92,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,309.12 : 328,984.28 = 61,536.88 : x
  2. Step 2: Convert to fraction form
    219,309.12/328,984.28 = 61,536.88/x
  3. Step 3: Cross multiply
    219,309.12x = 328,984.28 × 61,536.88
  4. Step 4: Simplify right side
    219,309.12x = 20,244,666,160.25
  5. Step 5: Solve for x
    x = 20,244,666,160.25/219,309.12
  6. Step 6: Final answer
    x = 92,311.10

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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.