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Finding the Fourth Proportional to 310,205.72, 465,209.94 and 99,794.68

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Solution

The fourth proportional to 310,205.72, 465,209.94 and 99,794.68 is: 149,660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,205.72 : 465,209.94 = 99,794.68 : x
  2. Step 2: Convert to fraction form
    310,205.72/465,209.94 = 99,794.68/x
  3. Step 3: Cross multiply
    310,205.72x = 465,209.94 × 99,794.68
  4. Step 4: Simplify right side
    310,205.72x = 46,425,477,095.12
  5. Step 5: Solve for x
    x = 46,425,477,095.12/310,205.72
  6. Step 6: Final answer
    x = 149,660.29

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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.