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Finding the Fourth Proportional to 219,323.50, 328,986.90 and 53,111.50

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Solution

The fourth proportional to 219,323.50, 328,986.90 and 53,111.50 is: 79,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,323.50 : 328,986.90 = 53,111.50 : x
  2. Step 2: Convert to fraction form
    219,323.50/328,986.90 = 53,111.50/x
  3. Step 3: Cross multiply
    219,323.50x = 328,986.90 × 53,111.50
  4. Step 4: Simplify right side
    219,323.50x = 17,472,987,739.35
  5. Step 5: Solve for x
    x = 17,472,987,739.35/219,323.50
  6. Step 6: Final answer
    x = 79,667.65

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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.