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Finding the Fourth Proportional to 219,323.52, 328,986.90 and 53,111.52

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Solution

The fourth proportional to 219,323.52, 328,986.90 and 53,111.52 is: 79,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,323.52 : 328,986.90 = 53,111.52 : x
  2. Step 2: Convert to fraction form
    219,323.52/328,986.90 = 53,111.52/x
  3. Step 3: Cross multiply
    219,323.52x = 328,986.90 × 53,111.52
  4. Step 4: Simplify right side
    219,323.52x = 17,472,994,319.09
  5. Step 5: Solve for x
    x = 17,472,994,319.09/219,323.52
  6. Step 6: Final answer
    x = 79,667.67

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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.