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Finding the Fourth Proportional to 311,009.79, 466,513.86 and 86,370.33

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Solution

The fourth proportional to 311,009.79, 466,513.86 and 86,370.33 is: 129,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,009.79 : 466,513.86 = 86,370.33 : x
  2. Step 2: Convert to fraction form
    311,009.79/466,513.86 = 86,370.33/x
  3. Step 3: Cross multiply
    311,009.79x = 466,513.86 × 86,370.33
  4. Step 4: Simplify right side
    311,009.79x = 40,292,956,037.77
  5. Step 5: Solve for x
    x = 40,292,956,037.77/311,009.79
  6. Step 6: Final answer
    x = 129,555.27

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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.