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Finding the Fourth Proportional to 219,261.78, 328,892.69 and 53,049.78

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Solution

The fourth proportional to 219,261.78, 328,892.69 and 53,049.78 is: 79,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,261.78 : 328,892.69 = 53,049.78 : x
  2. Step 2: Convert to fraction form
    219,261.78/328,892.69 = 53,049.78/x
  3. Step 3: Cross multiply
    219,261.78x = 328,892.69 × 53,049.78
  4. Step 4: Simplify right side
    219,261.78x = 17,447,685,405.09
  5. Step 5: Solve for x
    x = 17,447,685,405.09/219,261.78
  6. Step 6: Final answer
    x = 79,574.68

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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.